All practice questions

13931 questions

Question 13721Question

An electric lamp of resistance 10Ω10\,\Omega is connected to a cell of electromotive force (e.m.f.) 12V12\,\text{V} and internal resistance 2Ω2\,\Omega. What is the electrical power dissipated as heat inside the cell?

Show answer & explanation

Answer: 2.0W2.0\,\text{W}

Answer

The electrical power dissipated inside the cell is 2.0W2.0\,\text{W}.
The total opposition to current in the circuit includes both the external lamp resistance and the internal resistance of the cell (10Ω+2Ω=12Ω10\,\Omega + 2\,\Omega = 12\,\Omega). This yields a circuit current of 1.0A1.0\,\text{A}. Using Joule's law of heating (P=I2rP = I^2 r), the power lost specifically inside the cell is (1.0)2×2=2.0W(1.0)^2 \times 2 = 2.0\,\text{W}.

Step-by-Step Solution

1
Calculate the total resistance of the circuit.
Rtotal=R+r=10Ω+2Ω=12ΩR_{\text{total}} = R + r = 10\,\Omega + 2\,\Omega = 12\,\Omega
The internal resistance of the cell is in series with the external load resistance.
2
Determine the current flowing through the circuit.
I=ERtotal=12V12Ω=1.0AI = \frac{E}{R_{\text{total}}} = \frac{12\,\text{V}}{12\,\Omega} = 1.0\,\text{A}
By Ohm's law applied to a complete circuit, current equals total e.m.f. divided by total resistance.
3
Calculate the power dissipated as heat in the internal resistance.
Pinternal=I2r=(1.0A)2×2Ω=2.0WP_{\text{internal}} = I^2 r = (1.0\,\text{A})^2 \times 2\,\Omega = 2.0\,\text{W}
Joule heating power in a resistor is given by P=I2rP = I^2 r.

Key Concept

Electrical Power Dissipation and Internal Resistance
Estimated Time:1m 30s
Question 13722Question

Match each Nigerian consumer protection agency on the left with its primary statutory function on the right.

Click a left item, then click its matching right item

Items

Federal Competition and Consumer Protection Commission (FCCPC)
National Agency for Food and Drug Administration and Control (NAFDAC)
Standards Organisation of Nigeria (SON)

Matches

Show answer & explanation

Answer

Federal Competition and Consumer Protection Commission (FCCPC) matches with enforcing market competition laws and addressing unfair trade practices; National Agency for Food and Drug Administration and Control (NAFDAC) matches with regulating safety and quality of processed foods, drugs, and cosmetics; Standards Organisation of Nigeria (SON) matches with establishing national standardization benchmarks and issuing MANCAP certification for manufactured industrial goods.
Each regulatory agency has a clear statutory scope: FCCPC enforces fair market competition and general consumer rights; NAFDAC regulates consumables, drugs, and cosmetics for public health safety; and SON establishes technical standards and MANCAP certification for manufactured goods.

Step-by-Step Solution

1
Identify the mandate of the FCCPC
Recognize that FCCPC handles broad consumer exploitation, monopolies, and market competition enforcement across general business sectors.
FCCPC operates as the overarching consumer protection and fair competition body in Nigeria.
2
Identify the mandate of NAFDAC
Connect NAFDAC to consumable goods, pharmaceuticals, cosmetics, and biological products.
NAFDAC specializes in health-impacting products such as foods, drugs, and chemicals.
3
Identify the mandate of SON
Associate SON with industrial metrics, standard specifications, and MANCAP/NIS certifications.
SON ensures physical manufactured items and equipment meet national quality thresholds.

Key Concept

Statutory mandates and operational jurisdictions of Nigerian consumer protection regulatory bodies.
Question 13723Question

A rigid container AA of volume 0.060 m30.060\text{ m}^3 contains an ideal gas at an absolute pressure of 4.50×105 Pa4.50 \times 10^5\text{ Pa} and a temperature of 27C27^\circ\text{C}. Container AA is connected via a narrow tube of negligible volume with a valve to an evacuated rigid container BB of volume 0.040 m30.040\text{ m}^3. The valve is opened, allowing gas to flow between the containers until equilibrium is established. If container AA is maintained at 27C27^\circ\text{C} while container BB is maintained at 127C127^\circ\text{C}, what is the final equilibrium pressure of the gas in kilopascals (kPa)?

Show answer & explanation

Answer: 300

Answer

300 kPa
Converting both temperatures to Kelvin (300 K300\text{ K} and 400 K400\text{ K}) and applying mole conservation (ntotal=nA+nBn_{\text{total}} = n_A + n_B) yields a final uniform pressure of 3.00×105 Pa3.00 \times 10^5\text{ Pa}, which equals 300 kPa300\text{ kPa}.

Step-by-Step Solution

1
Convert temperatures from degrees Celsius to kelvins.
TA=27C+273=300 KT_A = 27^\circ\text{C} + 273 = 300\text{ K} and TB=127C+273=400 KT_B = 127^\circ\text{C} + 273 = 400\text{ K}.
Gas laws and calculations using the ideal gas equation require absolute temperatures in Kelvin.
2
Calculate the initial number of moles of gas present in the system.
ntotal=pAVARTA=(4.50×105 Pa)(0.060 m3)R(300 K)=90Rn_{\text{total}} = \frac{p_A V_A}{R T_A} = \frac{(4.50 \times 10^5\text{ Pa})(0.060\text{ m}^3)}{R(300\text{ K})} = \frac{90}{R}.
Container B is initially evacuated, meaning all gas molecules originate from container A.
3
Express the total number of moles at final equilibrium in terms of final pressure PP.
nfinal=nA+nB=PVARTA+PVBRTB=PR(0.060300+0.040400)=PR(2.0×104+1.0×104)=3.0×104PRn_{\text{final}} = n_A + n_B = \frac{P V_A}{R T_A} + \frac{P V_B}{R T_B} = \frac{P}{R} \left(\frac{0.060}{300} + \frac{0.040}{400}\right) = \frac{P}{R} (2.0 \times 10^{-4} + 1.0 \times 10^{-4}) = \frac{3.0 \times 10^{-4} P}{R}.
At equilibrium, the pressure PP becomes uniform throughout both interconnected containers.
4
Equate the initial and final total moles to solve for the equilibrium pressure PP.
90R=3.0×104PR    P=903.0×104=3.00×105 Pa=300 kPa\frac{90}{R} = \frac{3.0 \times 10^{-4} P}{R} \implies P = \frac{90}{3.0 \times 10^{-4}} = 3.00 \times 10^5\text{ Pa} = 300\text{ kPa}.
The total mass and number of moles of gas are conserved within the sealed system.

Key Concept

Conservation of total moles in interconnected gas containers governed by the ideal gas equation PV=nRTPV = nRT
Estimated Time:2m 30s
Question 13724Question

During a torrential rainstorm in a highland terrain, saturated soil and loose rock debris rapidly slide down a steep slope under the direct force of gravity. Which environmental hazard is illustrated by this event, and how does it fundamentally differ from weathering?

Show answer & explanation

Answer: Landslide; it involves the downslope movement of slope materials under gravity, whereas weathering is the in-situ disintegration of rocks without displacement.

Answer

The hazard is a landslide, which is a form of mass wasting involving the downslope movement of rock and soil debris under gravity, whereas weathering refers strictly to the in-situ physical breakdown or chemical decomposition of rocks without transportation.
The correct response identifies the hazard as a landslide (a form of mass wasting) and correctly states that mass movement involves gravitational transport down a slope, whereas weathering is an in-situ process of decay and disintegration without transportation of the weathered materials.

Step-by-Step Solution

1
Analyze the physical mechanism described in the scenario.
The movement involves saturated regolith sliding down a steep slope driven directly by gravity, which defines mass wasting (specifically a rapid landslide).
Identifying the primary driving force (gravity) separates mass wasting from fluid-driven erosion processes.
2
Distinguish between mass wasting and weathering.
Weathering occurs in-situ (in place) without transport, whereas mass wasting inherently involves the displacement of materials downslope.
Understanding spatial displacement is critical for differentiating rock decay (weathering) from mass movement hazards.

Key Concept

Distinction between mass wasting hazards and weathering processes
Question 13725Question

On a topographical map with a scale of 1:60,0001 : 60,000, a railway track connects Hill Station XX at an elevation of 460 m460\text{ m} to Junction YY at an elevation of 340 m340\text{ m}. If the distance between the two points measured along the map is 5 cm5\text{ cm}, what is the average gradient of the slope between Station XX and Junction YY?

Show answer & explanation

Answer: 1 in 251 \text{ in } 25

Answer

The average gradient between Station X and Junction Y is 1 in 251 \text{ in } 25.
The vertical interval between the two stations is 460 m340 m=120 m460\text{ m} - 340\text{ m} = 120\text{ m}. Using the map scale of 1:60,0001 : 60,000, a map distance of 5 cm5\text{ cm} represents a ground horizontal distance of 5×60,000 cm=300,000 cm=3,000 m5 \times 60,000\text{ cm} = 300,000\text{ cm} = 3,000\text{ m}. Dividing the vertical interval by the horizontal equivalent gives 1203000=125\frac{120}{3000} = \frac{1}{25}, which is expressed as 1 in 251 \text{ in } 25.

Step-by-Step Solution

1
Calculate the Vertical Interval (VI)
VI=460 m340 m=120 m\text{VI} = 460\text{ m} - 340\text{ m} = 120\text{ m}
The Vertical Interval is the absolute difference in elevation between the two points.
2
Calculate the Horizontal Equivalent (HE) in meters
HE=5 cm×60,000=300,000 cm=3,000 m\text{HE} = 5\text{ cm} \times 60,000 = 300,000\text{ cm} = 3,000\text{ m}
Convert the measured map distance to ground distance using the representative fraction scale, then convert centimeters to meters.
3
Calculate the gradient ratio
Gradient=VIHE=120 m3,000 m=125 or 1 in 25\text{Gradient} = \frac{\text{VI}}{\text{HE}} = \frac{120\text{ m}}{3,000\text{ m}} = \frac{1}{25} \text{ or } 1 \text{ in } 25
Express the ratio of Vertical Interval to Horizontal Equivalent in standard 1 in N1 \text{ in } N form by dividing both values by the vertical interval.

Key Concept

Topographic Gradient Calculation
Question 13726Question

Match each African mining location on the left with its corresponding major mineral resource on the right.

Click a left item, then click its matching right item

Items

Jos Plateau (Nigeria)
Great Dyke (Zimbabwe)
Witwatersrand Basin (South Africa)
Koidu District (Sierra Leone)

Matches

Show answer & explanation

Answer

Jos Plateau matches Cassiterite (tin ore) and columbite; Great Dyke matches Platinum group metals and chromium; Witwatersrand Basin matches Placer gold deposits hosted in conglomerate rock layers; Koidu District matches Alluvial diamonds mined from gravel deposits.
Each mining center correctly corresponds to its primary geological mineral output: Jos Plateau with tin/columbite, Great Dyke with platinum/chromium, Witwatersrand with gold, and Koidu with diamonds.

Step-by-Step Solution

1
Identify the primary mineral deposit associated with West African young granite ring complexes.
Jos Plateau in Nigeria is associated with tin (cassiterite) and columbite mining.
Geological weathering of younger granites led to placer concentrations of tin and columbite in the plateau's alluvium.
2
Locate the major geological rift/intrusion feature in Southern Africa known for strategic industrial metals.
Great Dyke in Zimbabwe is linked to platinum and chromium.
The lopolithic intrusion structure of the Great Dyke contains linear bands rich in chromite and platinum group minerals.
3
Recall the major gold-producing geological formation in South Africa.
Witwatersrand Basin is linked to placer gold deposits in conglomerate reefs.
Deep-level mining in the Witwatersrand targets gold contained in ancient Precambrian conglomerate rocks.
4
Associate diamond-producing regions in Sierra Leone with extraction methods.
Koidu District matches alluvial and kimberlite diamonds.
Koidu is central to Sierra Leone's diamond fields along river beds and primary pipes.

Key Concept

Distribution and geological context of major mineral extraction zones across Africa
Question 13727Question

Match each electrical quantity or unit in List I with its corresponding formula or definition in List II.

Click a left item, then click its matching right item

Items

Electrical Power (PP)
Electrical Energy (EE)
SI unit of Electric Power
Commercial unit of Electrical Energy

Matches

Show answer & explanation

Answer

Electrical Power (PP) matches Product of potential difference and current (V×IV \times I); Electrical Energy (EE) matches Product of electrical power and time (P×tP \times t); SI unit of Electric Power matches Watt (W\text{W}); Commercial unit of Electrical Energy matches Kilowatt-hour (kWh\text{kWh}).
Electrical power is defined by the product of potential difference and current (P=VIP = VI) and measured in Watts (W\text{W}). Electrical energy is power multiplied by time (E=PtE = Pt) and commercially measured in Kilowatt-hours (kWh\text{kWh}).

Step-by-Step Solution

1
Identify the formula for electrical power.
Electrical power P=VIP = VI.
Power represents the rate of electrical energy dissipation across a potential difference.
2
Identify the formula for electrical energy.
Electrical energy E=P×tE = P \times t.
Energy is the work done over a period of time.
3
Determine the standard SI unit for power.
The SI unit of power is the Watt (W\text{W}).
One Watt is defined as one Joule per second.
4
Determine the commercial unit for electrical energy.
The commercial unit of energy is the Kilowatt-hour (kWh\text{kWh}).
1 kWh is equal to 3.6×106J3.6 \times 10^6\,\text{J}, which is convenient for commercial electricity billing.

Key Concept

Electrical Energy and Power Definitions and Units
Question 13728Question

Arrange the following standard operational steps involved in customs clearance and duty assessment for imported commercial goods into their correct chronological sequence.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct sequence of customs clearance is: First, submission of foreign trade entry documents; second, physical inspection and examination of cargo; third, assessment and computation of import duties; and finally, payment of assessed duties and issuance of an official customs release certificate.
The standard procedure for customs control begins with document lodging (submission of bill of lading, invoice, import forms). This is followed by physical verification and inspection by customs officers. Once verified, duty assessment is conducted based on official tariff schedules, and lastly, duties are paid to secure the release of the goods.

Step-by-Step Solution

1
Identify the initial document lodging phase
The importer submits foreign trade documents (Bill of Lading, Invoice) to declare incoming cargo.
Customs cannot inspect or assess goods without receiving formal entry declarations first.
2
Identify physical verification step
Customs inspects cargo against submitted documents.
Physical examination confirms product specifications and prevents under-declaration or smuggling.
3
Determine duty calculation phase
Customs computes applicable ad valorem or specific duties based on verified valuation.
Duty calculation requires accurate physical verification of product type and value.
4
Identify final settlement and release phase
The importer pays calculated duties and obtains a clearance release note.
Goods remain under customs control until all legal revenues are collected.

Key Concept

Customs clearance and duty assessment procedures in foreign trade
Question 13729Question

Arrange the following key historical milestones in Nigeria's transportation infrastructure development in chronological order, from the earliest to the most recent.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct chronological order of Nigeria's transportation infrastructure milestones is: first, the completion of the Lagos to Kano Western Railway line (1912); second, the opening of the Port Harcourt to Enugu Eastern Railway segment (1916); third, the commissioning of the Lagos-Ibadan Expressway (1978); and fourth, the commissioning of the Abuja-Kaduna Standard Gauge Railway (2016).
The correct chronological sequence reflects the historical expansion of transport networks in Nigeria: colonial narrow-gauge rail construction began in the west with the Lagos-Kano line (1912), followed by the eastern coal route from Port Harcourt to Enugu (1916). The post-independence era shifted heavy investment toward motor highways, highlighted by the Lagos-Ibadan Expressway (1978), and transitioned into standard-gauge rail modernization in the 21st century with the Abuja-Kaduna rail line (2016).

Step-by-Step Solution

1
Determine the date for early colonial railway construction in Western Nigeria.
The Lagos-Kano line was completed in 1912.
Colonial authorities prioritized connecting the agricultural hinterland of Northern Nigeria to the ocean port at Lagos.
2
Identify the completion date for Eastern railway development.
The Port Harcourt to Enugu railway segment opened in 1916.
The discovery of coal in Enugu led to building Port Harcourt port and establishing the eastern rail link in 1916.
3
Determine the timeframe for major national express road development.
The Lagos-Ibadan Expressway was commissioned in 1978.
Economic growth driven by the 1970s petroleum boom spurred major arterial highway projects.
4
Identify the era of standard-gauge rail modernization.
The Abuja-Kaduna standard-gauge rail line was commissioned in 2016.
This project represents 21st-century modernization replacing old colonial narrow-gauge infrastructure.

Key Concept

Chronological evolution of major transport corridors and infrastructure in Nigeria
Question 13730Question

Commercial geography traces the physical and economic movement of goods entering global markets. Arrange the following stages of international agricultural export logistics in chronological order from the inland origin to the final overseas destination market.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct chronological sequence of export logistics is: (1) Bulk aggregation and quality grading at hinterland buying stations, (2) Overland freight haulage along transit corridors to coastal seaport terminals, (3) Customs inspection, bill of lading issuance, and vessel stevedoring at port quays, (4) Oceanic maritime transit across international sea trade routes, and (5) Port discharge, tariff assessment, and customs clearance at destination bonded warehouses.
The logical spatial flow of commercial trade begins in rural hinterlands with produce aggregation, proceeds along overland transit corridors to seaport terminals, passes through origin port customs and vessel loading, undergoes oceanic maritime transport, and finishes with destination port customs discharge and tariff payment.

Step-by-Step Solution

1
Identify the point of primary commodity origin.
Bulk aggregation and grading at hinterland stations occur first at the rural farmgate level.
Agricultural goods must first be assembled and evaluated for export quality in production zones before being moved long distances.
2
Trace the movement of goods from inland zones to the coast.
Overland haulage carries the aggregated goods along transport corridors to seaport terminals.
Internal transport infrastructure links agricultural hinterlands to coastal port gateways.
3
Determine port of origin processing requirements.
Customs inspection, bill of lading processing, and vessel loading occur at the port quay.
Legal clearance and stevedoring must take place before ships can leave the domestic territory.
4
Identify the international transport phase.
Oceanic maritime transit occurs across global ocean routes.
Maritime transport carries heavy bulk commodities between international trading partners across oceans.
5
Determine final import processing procedures.
Port discharge, tariff assessment, and customs clearance occur at the destination bonded warehouse.
Importing countries inspect goods and levy customs duties before releasing cargo into local markets.

Key Concept

Logistical stages of international commodity trade and commercial transport geography
Estimated Time:2m 0s
Question 13731Question

In what sequence do the vertical vegetation layers of a tropical rainforest occur, starting from the ground level up to the open sky?

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct vertical sequence from ground level up to the sky is Forest Floor, Understory Layer, Canopy Layer, and Emergent Layer.
Tropical rainforests exhibit vertical stratification with four distinct layers from bottom to top: the forest floor at ground level, the dark understory of shrubs and small trees, the dense continuous canopy formed by interlocking tree crowns, and the emergent layer consisting of isolated giant trees towering above the rest.

Step-by-Step Solution

1
Identify the lowermost vegetation layer resting directly on the soil surface.
The Forest Floor forms the bottom layer.
It consists of organic leaf litter, decomposers, fungi, and shade-tolerant seedlings.
2
Identify the intermediate shrub and young tree zone above the forest floor.
The Understory Layer forms the second level.
It receives low sunlight beneath the main canopy and consists of short trees, shrubs, and woody climbers.
3
Identify the primary continuous roof layer of the forest.
The Canopy Layer forms the third level.
Interlocking crowns of mature trees form a dense umbrella covering most of the rainforest.
4
Identify the uppermost isolated tall tree layer.
The Emergent Layer forms the top level.
Giant trees reach heights up to 60 metres, projecting above the main canopy roof into open air.

Key Concept

Tropical Rainforest Vertical Stratification
Question 13732Question

In the seasonally dry savanna regions of Northern Nigeria, intensive crop production during the dry season relies heavily on floodplain agricultural systems known as 'fadama' farming. Which of the following environmental factors primarily explains why fadama lands support successful crop cultivation when surrounding uplands are desiccated?

Show answer & explanation

Answer: The accumulation of fertile alluvial silt deposits and accessible shallow water tables along river channels

Answer

The accumulation of fertile alluvial silt deposits and accessible shallow water tables along river channels
Fadama lands are low-lying floodplains along river valleys in the savanna zone of Nigeria. Annual inundations deposit nutrient-dense alluvial sediments and maintain a high water table close to the surface, enabling farmers to cultivate vegetables, sugar cane, and rice during the long dry season.

Step-by-Step Solution

1
Identify the geographical context and agricultural system
The question focuses on 'fadama' farming in the savanna belt of Northern Nigeria.
Fadamas are floodplains or low-lying swampy areas along major river valleys (e.g., Niger, Benue, Sokoto, Hadejia-Jama'are river basins).
2
Analyze the physical soil and hydrological characteristics of fadama landforms
Flooding during the rainy season deposits nutrient-rich silt (alluvium) and recharges groundwater aquifers.
During the long dry season, the high water table allows farmers to easily draw water for irrigating crops like vegetables, rice, and sugarcane.
3
Evaluate the choices against ecological features of Northern Nigeria
The option highlighting alluvial silt and shallow water tables accurately describes fadama hydrology, whereas choices describing dense rainforests or heavily leached acidic latosols describe southern forest ecosystems.
Correctly distinguishing savanna floodplains from southern humid forest conditions leads to the accurate option.

Key Concept

Fadama Farming and Alluvial Hydrology in Northern Nigeria
Estimated Time:1m 0s
Question 13733Question

The siting of Nigeria's major paper and pulp industrial complex at Jebba in Kwara State along the River Niger was primarily determined by which geographical factor?

Show answer & explanation

Answer: Availability of abundant fresh water needed for pulping processes alongside local timber supply

Answer

The siting of the Jebba paper mill was primarily determined by the availability of abundant fresh water from the River Niger alongside local timber and pulpwood sources.
Pulp and paper production is a heavy weight-losing manufacturing process that consumes immense volumes of water during fiber digestion and washing. Siting the plant at Jebba guarantees direct access to the continuous fresh water supply of the River Niger and nearby timber fiber supplies, minimizing raw material assembly costs.

Step-by-Step Solution

1
Identify the industrial input requirements for pulp and paper manufacturing.
Pulp production is a raw-material-heavy and water-intensive industrial process requiring millions of liters of fresh water daily to wash and chemically treat plant fibers.
Understanding the technical requirements of the industry determines its primary spatial location factor according to industrial location principles.
2
Evaluate the spatial geography of Jebba, Kwara State.
Jebba is situated directly along the River Niger in the southern Guinea savanna belt, providing both permanent river water supply and access to wood fiber resources.
Industrial siting decisions prioritize locations that minimize the cost of bulk raw material and essential processing inputs like water.

Key Concept

Raw material and water resource orientation in Nigerian heavy manufacturing
Estimated Time:1m 15s
Question 13734Question

An air bubble with an initial volume of 4.0 cm34.0\text{ cm}^3 is released by a scuba diver at a depth where the total pressure is 2.50×105 Pa2.50 \times 10^5\text{ Pa} and the water temperature is 7C7^\circ\text{C}. Calculate the volume of the bubble, in cm3\text{cm}^3, just as it reaches the surface where the pressure is 1.00×105 Pa1.00 \times 10^5\text{ Pa} and the water temperature is 77C77^\circ\text{C}.

Show answer & explanation

Answer: 12.5

Answer

12.5 cm³
Converting temperatures to the Kelvin scale (T1=280 KT_1 = 280\text{ K} and T2=350 KT_2 = 350\text{ K}) and applying the combined gas law formula P1V1T1=P2V2T2\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} gives a final volume of 12.5 cm312.5\text{ cm}^3.

Step-by-Step Solution

1
Convert the initial and final temperatures from degrees Celsius to absolute temperatures in Kelvin.
T1=7C+273=280 KT_1 = 7^\circ\text{C} + 273 = 280\text{ K} and T2=77C+273=350 KT_2 = 77^\circ\text{C} + 273 = 350\text{ K}.
Gas law calculations require thermodynamic temperature measured on the Kelvin scale.
2
Set up the combined gas law relationship for a fixed mass of gas.
P1V1T1=P2V2T2\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}
The mass of air inside the bubble remains constant while pressure, volume, and temperature change simultaneously.
3
Substitute the known values into the equation and solve for the final volume V2V_2.
V2=P1V1T2P2T1=(2.50×105 Pa)×(4.0 cm3)×(350 K)(1.00×105 Pa)×(280 K)=12.5 cm3V_2 = \frac{P_1 V_1 T_2}{P_2 T_1} = \frac{(2.50 \times 10^5\text{ Pa}) \times (4.0\text{ cm}^3) \times (350\text{ K})}{(1.00 \times 10^5\text{ Pa}) \times (280\text{ K})} = 12.5\text{ cm}^3.
Algebraic substitution yields the correct final volume of the expanded bubble.

Key Concept

Combined Gas Law
Question 13735Question

Match each specialized type of cooperative society with its primary operational mechanism and service delivery function.

Click a left item, then click its matching right item

Items

Cooperative Building and Housing Society
Multipurpose Cooperative Society
Farmers' Agricultural Supply Cooperative
Craftsmen and Artisans Cooperative Society

Matches

Show answer & explanation

Answer

Cooperative Building and Housing Society matches with provision of long-term mortgage facilities and affordable land acquisition; Multipurpose Cooperative Society matches with combined execution of savings, credit, and retail trade under a single administrative umbrella; Farmers' Agricultural Supply Cooperative matches with direct bulk distribution of fertilizers, seeds, and equipment; Craftsmen and Artisans Cooperative Society matches with bulk procurement of raw materials and shared leasing of technical tools.
Each cooperative type is matched according to its core socio-economic objective: housing cooperatives specialize in land acquisition and mortgages, multipurpose cooperatives integrate multiple business operations (savings, credit, retail), agricultural supply cooperatives source farm inputs in bulk, and artisan cooperatives assist micro-manufacturers with raw material procurement and shared tool usage.

Step-by-Step Solution

1
Analyze the primary objective of a Building and Housing Cooperative
Identified that housing cooperatives aim to solve shelter challenges by securing land and facilitating low-cost residential mortgages for members.
Housing cooperatives directly address real estate and structural development needs.
2
Evaluate the operational structure of a Multipurpose Cooperative
Identified that multipurpose cooperatives operate across multiple commercial domains (savings, loans, retail) simultaneously.
The term 'multipurpose' signifies integrating diverse commercial functions within a single entity.
3
Examine the functional focus of Agricultural Supply Cooperatives
Matched agricultural supply cooperatives with the bulk distribution of farming inputs like seeds, fertilizers, and tools.
Supply cooperatives concentrate on lowering input costs for primary agricultural production.
4
Determine the primary focus of Craftsmen and Artisans Cooperatives
Matched artisan cooperatives with collective raw material sourcing and shared workshop tool leasing.
Small-scale craftsmen benefit from pooling resources to access heavy equipment and raw manufacturing inputs.

Key Concept

Classification and operational functions of specialized cooperative societies
Question 13736Question

Match each kinetic theory concept or gas behavior statement on the left with its corresponding microscopic mechanism or physical condition on the right.

Click a left item, then click its matching right item

Items

Absolute temperature of a gas
Pressure exerted by a gas
Direct physical evidence of continuous molecular motion
Conditions for real gases to approximate ideal gas behavior

Matches

Show answer & explanation

Answer

Absolute temperature corresponds to the average translational kinetic energy of gas molecules; Pressure exerted by a gas corresponds to the rate of momentum transferred per unit area from elastic wall collisions; Direct physical evidence of continuous molecular motion corresponds to Brownian motion and diffusion; Conditions for real gas ideal behavior correspond to low pressure and high temperature.
Each kinetic theory concept correctly maps to its physical baseline: absolute temperature reflects average molecular translational kinetic energy; pressure results from momentum transfer during elastic collisions with walls; Brownian motion and diffusion provide direct physical evidence of random molecular motion; and real gases obey ideal gas behavior best under low pressure and high temperature conditions.

Step-by-Step Solution

1
Relate absolute temperature to microscopic particle properties.
Absolute temperature TT is proportional to the average kinetic energy of translational motion of the gas molecules, Eˉk=32kBT\bar{E}_k = \frac{3}{2}k_B T.
Kinetic theory establishes temperature as a macroscopic measure of microscopic kinetic energy.
2
Identify the kinetic origin of gas pressure.
Molecules undergo elastic collisions with container walls, causing momentum change Δp\Delta p per unit time, resulting in pressure P=FAP = \frac{F}{A}.
Macroscopic pressure is the cumulative force per unit area produced by constant particle impacts.
3
Determine experimental phenomena validating molecular motion.
Brownian motion (erratic motion of suspended pollen/smoke particles) and gas diffusion confirm molecular kinetic motion.
Unbalanced bombardment by invisible gas molecules causes visible random motion of suspended particles.
4
Establish validity conditions for ideal gas assumptions.
Real gases behave ideally at low pressures (large intermolecular distances make particle volume negligible) and high temperatures (high kinetic energy overcomes intermolecular attraction).
These conditions satisfy the fundamental postulates of the kinetic model of ideal gases.

Key Concept

Kinetic Theory of Matter and Pressure of Gases
Question 13737Question

An importer dispatches an order to an overseas purchasing agent containing rigid instructions regarding the precise manufacturer, price range, and shipping terms, leaving the agent with no discretion. Which of the following commercial documents has the importer issued?

Show answer & explanation

Answer: Closed indent

Answer

The closed indent is the commercial document sent to an overseas buying agent containing precise instructions regarding the manufacturer, price, and terms of purchase.
A closed indent is a purchase order sent by an importer to an overseas buying agent that specifies exact details such as the manufacturer, quantity, price, and packing instructions, leaving the agent with no discretionary power.

Step-by-Step Solution

1
Identify the type of transaction and commercial document described in the scenario.
The document is an order placed by an importer with an overseas agent detailing mandatory purchase conditions.
An order sent through an agent in international commerce is classified as an indent.
2
Distinguish between an open indent and a closed indent.
Because the agent is restricted to specific suppliers and conditions with zero discretion, the document is a closed indent.
An open indent allows the buying agent freedom of selection, whereas a closed indent strictly binds the agent to exact specified details.

Key Concept

Types and functions of indents in foreign trade
Question 13738Question

Match each environmental conservation technique listed on the left with its primary operational mechanism or management function on the right.

Click a left item, then click its matching right item

Items

Bioremediation
Terracing
Effluent Treatment
Environmental Impact Assessment

Matches

Show answer & explanation

Answer

Bioremediation correctly matches utilizing living microorganisms to neutralize pollutants; Terracing matches constructing stepped horizontal platforms on steep hillsides; Effluent Treatment matches purifying industrial liquid waste prior to discharge; and Environmental Impact Assessment matches evaluating potential ecological consequences of proposed development projects prior to execution.
Each technique aligns with its specific functional role: Bioremediation uses living microbes to neutralize toxins; Terracing creates stepped ledges to manage slope runoff; Effluent Treatment purifies liquid industrial waste before discharge; and Environmental Impact Assessment systematically evaluates ecological risks before project initiation.

Step-by-Step Solution

1
Identify the biological method of pollution control.
Pair Bioremediation with utilizing living microorganisms to neutralize or decompose toxins in polluted environments.
Bioremediation specifically relies on biological metabolic processes of living organisms to degrade pollutants.
2
Identify the mechanical/structural soil conservation method used on hilly landscapes.
Pair Terracing with constructing stepped horizontal platforms along steep hillsides to slow surface runoff.
Terracing alters slope gradient by creating flat steps, controlling downhill water speed and soil degradation.
3
Identify the chemical and physical water pollution abatement method used in industry.
Pair Effluent Treatment with purifying and neutralizing toxic industrial liquid waste prior to discharge.
Effluent treatment facilities process liquid industrial wastes to remove harmful substances before release into aquatic ecosystems.
4
Identify the administrative and legislative policy technique for environmental management.
Pair Environmental Impact Assessment with evaluating potential ecological consequences of proposed development projects prior to execution.
Environmental Impact Assessment is a formal decision-making process required by law to evaluate project sustainability before construction.

Key Concept

Operational mechanisms and functional categories of biological, physical, industrial, and legislative environmental conservation methods.
Question 13739Question

In desert environments, extreme diurnal temperature variations cause the outer layers of exposed rock to expand during the day and contract at night, eventually resulting in the peeling off of concentric rock sheets. Which weathering process does this describe?

Show answer & explanation

Answer: Exfoliation

Answer

Exfoliation
The process described is exfoliation (thermal weathering), where differential heating between the outer rock layer and the cooler interior causes stresses that detach concentric sheets of rock in dry, arid regions.

Step-by-Step Solution

1
Analyze the environmental conditions and physical process described in the stem.
The scenario highlights large day-to-night (diurnal) temperature changes in arid regions leading to thermal expansion and contraction.
Rocks are poor conductors of heat, so thermal stresses concentrate in the outermost layers.
2
Identify the specific mechanical weathering mechanism associated with peeling outer layers.
Repeated expansion and contraction create stress fractures parallel to the rock surface, causing outer sheets to split and peel off, known as exfoliation.
Exfoliation operates in-situ without initial downslope movement.

Key Concept

Thermal expansion and mechanical exfoliation of rocks
Question 13740Question

An environmental consulting team is preparing an Environmental Impact Assessment (EIA) for a proposed open-cast solid mineral mining operation in Plateau State, Nigeria. How should the following initial procedural steps of the EIA process be arranged in the correct chronological order from start to finish?

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct chronological sequence of the EIA steps is: Screening the proposed project -> Scoping the project area -> Conducting baseline environmental data collection -> Predicting potential environmental impacts and formulating mitigation measures -> Drafting and submitting the Environmental Impact Statement (EIS).
The Environmental Impact Assessment (EIA) process follows a logical sequence. It begins with screening (determining EIA necessity), moves to scoping (defining scope and key issues), proceeds to baseline data collection (measuring existing environmental conditions), follows with impact prediction and mitigation design, and concludes with the submission of the Environmental Impact Statement (EIS) for review and approval.

Step-by-Step Solution

1
Identify the initial screening decision.
Screening occurs first to determine whether a project legally mandates an EIA.
Before resources are committed to studies, regulatory agencies must decide if an assessment is required.
2
Define the boundaries and key issues of the assessment.
Scoping occurs second, defining the specific scope, key concerns, and environmental parameters.
Scoping ensures that subsequent fieldwork focuses strictly on significant environmental impacts.
3
Establish the baseline environmental conditions.
Baseline data collection occurs third to measure pre-existing environmental quality.
Comprehensive baseline data provides the reference standard against which future impacts are evaluated.
4
Analyze future impacts and develop management controls.
Impact prediction and mitigation formulation take place fourth.
Baseline data is analyzed to forecast environmental changes and design measures that avoid or reduce damage.
5
Produce and submit the final assessment documentation.
Drafting and submitting the Environmental Impact Statement (EIS) is the final procedural step among those listed.
The EIS synthesizes baseline data, impact evaluations, and management strategies for stakeholder review and approval.

Key Concept

Procedural Sequence of Environmental Impact Assessment (EIA)
Estimated Time:1m 30s
PreviousPage 687 / 697Next
All practice questions — JAMB UTME | Examkin