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13931 questions

All types13,931 Multiple choice7,139 True / False771 Numeric1,526 Matching2,583 Ordering631 Fill in the blank1,223 Short answer58

Question 6521Question →

If two objects of unequal mass experience the same magnitude of net force for the same duration of time, the lighter object will undergo a greater change in linear momentum than the heavier object.

True

False

Show answer & explanation

Answer: False

Answer

The statement is False. Both objects undergo the exact same change in linear momentum because impulse depends only on the force applied and the time duration, not on the mass of the object.

The statement is false because the change in momentum (

\Delta p

) is determined solely by the impulse applied (

F \Delta t

). Since the net force and time duration are identical for both objects, the change in momentum is the same for both, regardless of mass differences.

Step-by-Step Solution

State the relationship between force, time, and momentum change using Newton's Second Law.

Impulse

J = F \Delta t = \Delta p

, where

F

is the net force,

\Delta t

is the duration, and

\Delta p

is the change in linear momentum.

The impulse-momentum theorem directly links the net force acting over time to the resulting change in momentum.

Evaluate the given problem constraints for both the lighter mass (

m_1

) and heavier mass (

m_2

F_1 = F_2 = F

and

\Delta t_1 = \Delta t_2 = \Delta t

Both objects experience equal forces for equal durations.

Compare the resulting changes in linear momentum.

\Delta p_1 = F \Delta t

and

\Delta p_2 = F \Delta t

, so

\Delta p_1 = \Delta p_2

Because mass

m

does not alter the product

F \Delta t

, both objects experience identical momentum changes.

Key Concept

Impulse-Momentum Theorem and Newton's Second Law of Motion

Question 6522Question →

What is the value of the definite integral $\int_{1}^{2} (4x^3 - 3x^2 + 2) \, dx$ ?

Show answer & explanation

Answer: 10

Answer

Integrating each term yields

F(x) = x^4 - x^3 + 2x

. Substituting the upper boundary gives

F(2) = 12

and the lower boundary gives

F(1) = 2

. Calculating

F(2) - F(1)

gives

12 - 2 = 10

, which is the exact value of the definite integral.

Step-by-Step Solution

Find the indefinite antiderivative of the integrand

4x^3 - 3x^2 + 2

F(x) = \int (4x^3 - 3x^2 + 2) \, dx = x^4 - x^3 + 2x

Apply the power rule of integration

\int x^n dx = \frac{x^{n+1}}{n+1}

to each term.

Evaluate the antiderivative at the upper limit

x = 2

F(2) = (2)^4 - (2)^3 + 2(2) = 16 - 8 + 4 = 12

Substitute

x = 2

into

F(x)

Evaluate the antiderivative at the lower limit

x = 1

F(1) = (1)^4 - (1)^3 + 2(1) = 1 - 1 + 2 = 2

Substitute

x = 1

into

F(x)

Subtract the lower limit value from the upper limit value.

F(2) - F(1) = 12 - 2 = 10

Apply the Fundamental Theorem of Calculus:

\int_{a}^{b} f(x) dx = F(b) - F(a)

Key Concept

Definite Integration of Polynomial Functions

Estimated Time:1m 30s

Question 6523Question →

Arrange the following steps in the correct statutory sequence for settling accounts and distributing assets upon the dissolution of a partnership firm, from first to last.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct statutory order for distributing assets upon partnership dissolution is: first, paying external third-party creditors; second, settling partner loans and advances; third, returning partner capital contributions; and fourth, distributing any remaining surplus in the agreed profit-sharing ratio.

Under standard commercial law (Section 44 of the Partnership Act), the settlement of accounts upon dissolution follows a strict hierarchy: external third-party liabilities are paid first, followed by partner loans and advances, then partner capital refunds, and finally the distribution of any remaining surplus among partners according to their agreed profit-sharing ratio.

Step-by-Step Solution

Discharge external liabilities

Debts owed to outside creditors and suppliers are fully paid.

Outside creditors hold primary legal claims against the firm's assets.

Settle partner loans and advances

Money lent to the firm by partners beyond their capital contributions is repaid.

Partner loans are treated as debt obligations taking precedence over equity capital repayment.

Refund partner capital accounts

Capital contributed by each partner is returned.

Equity capital is returned to owners only after all debt claims (external and internal) are cleared.

Divide the residual surplus

Remaining net assets are distributed among partners based on their profit-sharing ratio.

Partners receive residual profits in their capacity as equity owners.

Key Concept

Statutory Sequence of Asset Distribution upon Partnership Dissolution

Estimated Time:1m 15s

Question 6524Question →

A merchant wholesaler plays a pivotal role in connecting large-scale producers with small-scale retailers. Arrange the following operational stages of a merchant wholesaler in their correct chronological sequence, from initial interaction with manufacturers to final delivery to retail outlets.

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct sequence is: acquiring bulk consignments and legal title from manufacturers, storing bulk inventory in regional warehouses, breaking bulk into smaller commercial packages, and extending trade credit while distributing smaller packages to local retailers.

The logical sequence of wholesale operations begins with acquiring bulk consignments and legal title from manufacturers. Next, the wholesaler transports and stores these bulk goods in regional warehouses to ensure steady market supply. Afterwards, the wholesaler performs bulk-breaking by unpacking, sorting, and repacking goods into smaller lots. Finally, the wholesaler sells these smaller packages to local retailers, frequently extending short-term trade credit and providing delivery services.

Step-by-Step Solution

Identify the primary transaction between manufacturer and wholesaler.

Acquiring bulk shipments and assuming legal title is step 1.

The wholesaler must first buy in bulk and accept ownership risk before handling or selling the products.

Determine the immediate logistics requirement after purchase.

Warehousing and inventory storage is step 2.

Bulk goods must be safely stored in central facilities to bridge the time gap between production and market demand.

Identify the preparation step needed before selling to smaller traders.

Breaking bulk, sorting, and grading is step 3.

Retailers cannot afford or store full factory consignments, so goods must be divided into smaller lots.

Identify the final transaction that completes the wholesale function.

Granting trade credit and delivering smaller quantities to retailers is step 4.

This step completes the channel flow by placing manageable quantities of goods into retail hands.

Key Concept

Sequential Functions of Wholesalers in the Channel of Distribution

Estimated Time:2m 0s

Question 6525Question →

A customer acquires a commercial generator under a credit sale agreement, taking immediate delivery and agreeing to pay in six equal monthly instalments. After paying the second instalment, the customer sells the generator to an innocent third party and defaults on all subsequent payments to the original vendor. What legal remedy is available to the original vendor?

Sue the customer for the recovery of the unpaid balance of the purchase price.

Repossess the generator immediately from the third party without court intervention.

Void the transaction with the third party under hire purchase statutory regulations.

Issue a credit note to the third party to demand the return of the equipment.

Show answer & explanation

Answer: Sue the customer for the recovery of the unpaid balance of the purchase price.

Answer

The original vendor can only sue the defaulting customer for the recovery of the unpaid balance of the purchase price, as title to the goods passed to the buyer immediately upon contract formation.

Under a Credit Sale agreement (deferred payment), legal ownership of the goods passes to the buyer immediately upon delivery. Consequently, the buyer becomes the lawful owner and can validly pass good title to an innocent third party. If the buyer defaults on remaining payments, the original vendor cannot seize the asset but retains the right to sue the defaulting buyer in court for the debt owed.

Step-by-Step Solution

Identify the credit arrangement type.

The transaction is a Credit Sale (deferred payment) scheme rather than a Hire Purchase contract.

Credit sale agreements transfer full legal ownership of goods to the buyer at the point of agreement or delivery, even though payment is deferred.

Determine ownership status at the time of resale.

The customer was the legal owner when selling to the third party.

Since title passed upon initial delivery, the customer had full legal rights to sell the property to a third party.

Evaluate the vendor's legal rights upon default.

The vendor has no right of repossession against the third party and must seek monetary recovery from the debtor.

Because the vendor no longer holds title to the goods, the remedy is restricted to an action for breach of contract to recover the outstanding balance.

Key Concept

Distinction between legal title transfer under Credit Sale and Hire Purchase contracts

Question 6526Question →

Following the heightening political crisis of 1966, Nigerian political and military leaders met in Aburi, Ghana, in January 1967 to negotiate a peaceful resolution. Which of the following political arrangements best describes the system agreed upon in the Aburi Accord?

A confederal structure granting maximum autonomy to the regions while leaving a weak central authority

A unitary system consolidating supreme legislative authority within the central military high command

A rigid federal framework wherein the central government retained ultimate sovereign supremacy over regional laws

A parliamentary executive system redistributing power between a ceremonial president and regional premiers

Show answer & explanation

Answer: A confederal structure granting maximum autonomy to the regions while leaving a weak central authority

Answer

A confederal structure granting maximum autonomy to the regions while leaving a weak central authority

The Aburi Accord of January 1967 sought to resolve the Nigerian crisis by establishing a confederal system. Under this agreement, regional governors held veto power over central policies, severely limiting central authority and granting extensive self-governance to each region.

Step-by-Step Solution

Analyze the historical context of the Aburi Accord of January 1967.

The meeting aimed to prevent secession and full-scale conflict following the 1966 military coups.

Understanding the political crisis helps identify the structural compromise sought by regional leaders.

Examine the governance model agreed upon at Aburi.

Leaders agreed that regions should operate autonomously without central vetoes, creating a de facto confederal system.

Regional delegates, particularly from the Eastern Region, insisted on decentralization as a prerequisite for remaining part of Nigeria.

Key Concept

Aburi Accord and Confederalism vs Federalism in the Pre-Civil War Era

Question 6527Question →

Certain plays are written primarily for private reading and intellectual reflection rather than for staging or public theatrical production before an audience. Which genre of drama is defined by this specific characteristic?

Closet drama

Soliloquy

Melodrama

Mime

Show answer & explanation

Answer: Closet drama

Answer

Closet drama is a theatrical genre designed specifically for private reading rather than public stage performance.

The correct response is closet drama because it designates plays composed specifically for reading privately or in small groups rather than for theatrical staging.

Step-by-Step Solution

Analyze the stem requirement

The stem describes dramatic literature created for reading rather than stage presentation.

Identifying the primary medium of expression (reading versus stage performance) differentiates closet drama from performance-oriented forms.

Evaluate the terms against dramatic genres and conventions

Closet drama matches the definition of plays intended for reading; soliloquy is a dramatic technique; melodrama and mime are performance genres.

Categorizing each option clarifies whether it represents a reading genre, a theatrical technique, or a performance style.

Key Concept

Closet Drama and Genres of Drama

Question 6528Question →

Read the following unseen dramatic extract and match each character's speech (Left Column) with the corresponding dramatic element or device it illustrates (Right Column).

KALE: (Whispering to the audience while Chief Ojo speaks) He believes I am his loyal servant, yet his downfall is already signed in my pocket. (Line 1)
CHIEF OJO: My wealth is infinite! No mortal hand can ever strip me of this crown! (Line 2)
KALE: The crown glitters, Chief, but remember the head that wears it is made of clay. (Line 3)
KALE: I leave, my Lord—yet the storm you mock is already at your front gate. (Line 4)

Match each speech line with its dramatic element:

Click a left item, then click its matching right item

Show answer & explanation

Answer

Line 1 matches Aside; Line 2 matches Hubris; Line 3 matches Metaphor; Line 4 matches Foreshadowing.

Each statement in the extract corresponds to a distinct dramatic convention: Line 1 uses stage directions to deliver a secret address to the audience (aside); Line 2 exhibits the tragic flaw of supreme arrogance (hubris); Line 3 makes a direct figurative comparison between human mortality and fragile material (metaphor); and Line 4 provides a thematic warning of upcoming conflict (foreshadowing).

Step-by-Step Solution

Analyze Line 1's stage direction and context.

Kale delivers a private remark to the audience while Chief Ojo is present on stage.

Dramatic convention dictates that secret speeches spoken to the audience in the presence of other characters are asides.

Examine the character trait expressed by Chief Ojo in Line 2.

Chief Ojo displays inflated self-importance and defiance of mortal bounds.

In classical and modern drama, excessive pride and belief in one's own invincibility is hubris.

Identify the figure of speech used by Kale in Line 3.

Kale equates human physical composition directly to clay.

Directly identifying one concept with another without comparative conjunctions constitutes a metaphor.

Determine the structural function of Kale's final warning in Line 4.

The speech alerts the audience and character to an approaching figurative 'storm' or disaster.

Dialogue that hints at future tragic events serves the function of foreshadowing.

Key Concept

Analysis of Dramatic Elements and Dialogue in Unseen Extracts

Question 6529Question →

A manufacturing firm pays monthly rent for its factory premises, salaries to assembly workers, and interest on a commercial loan used to purchase machinery. After meeting all these operational expenses, the remaining earnings accrue to the owner as compensation for risk-bearing and business organization. Which factor of production receives this residual earnings stream as its reward?

Enterprise

Capital

Labour

Land

Show answer & explanation

Answer: Enterprise

Answer

Enterprise receives residual earnings (profit) as its reward for risk-taking and business organization.

Enterprise (or the entrepreneur) is the factor of production that combines land, labour, and capital, taking on financial and market risks. Its reward is profit, which represents the residual earnings left over after paying rent, wages, and interest.

Step-by-Step Solution

Identify the payment types mentioned in the scenario

Rent is paid for premises (Land), salaries for workers (Labour), and interest for loans/machinery (Capital).

Categorizing fixed factor payments clarifies which factor rewards have already been settled.

Determine the factor responsible for residual income

The owner assumes ultimate uncertainty, coordinates the other factors, and claims the remaining net profit after all explicit costs are covered.

Profit is uniquely earned by the entrepreneur for risk-bearing and managerial decision-making.

Key Concept

Factors of Production and Their Rewards (Enterprise and Profit)

Estimated Time:1m 0s

Question 6530Question →

Read the unseen prose extract below:

"The old steam engine groaned into the deserted station like a dying beast, belching thick black smoke into the crisp morning air. I watched from behind the wooden crates, holding my breath as two armed guards stepped onto the platform, their eyes scanning the shadows."

Which narrative point of view and dominant literary device used to describe the train are employed in the passage?

First-person narrative point of view with a simile

First-person narrative point of view with a metaphor

Third-person limited narrative point of view with a simile

Third-person omniscient narrative point of view with a metaphor

Show answer & explanation

Answer: First-person narrative point of view with a simile

Answer

First-person narrative point of view with a simile

The passage is told from the first-person point of view as evidenced by the narrator using 'I' ('I watched...'). Furthermore, the description of the engine as 'groaned into the deserted station like a dying beast' is a simile because it uses the comparative word 'like' to compare the train to an animal.

Step-by-Step Solution

Identify the narrative point of view

The narrator refers to personal observation using the first-person pronoun 'I' ('I watched from behind...'), establishing a first-person point of view.

First-person perspective is characterized by the narrator's direct involvement using pronouns such as 'I' and 'we'.

Identify the literary device describing the train

The train is compared to a 'dying beast' using the explicit comparison word 'like' ('like a dying beast').

A direct comparison using 'like' or 'as' constitutes a simile.

Combine the findings to select the correct answer

The narrative perspective is first-person and the literary device is a simile.

Only the combination of first-person perspective and simile correctly reflects both structural elements of the passage.

Key Concept

Identification of Narrative Point of View and Stylistic Devices in Unseen Prose

Question 6531Question →

The specific heat capacity of a uniform copper sphere of mass $2\text{ kg}$ is twice that of a uniform copper sphere of mass $1\text{ kg}$ at the same temperature.

True

False

Show answer & explanation

Answer: False

Answer

False. Specific heat capacity is an intensive property of a substance and is independent of the mass of the object.

The statement is false because specific heat capacity is an intensive property of matter. It measures the quantity of heat required to raise the temperature of

1\text{ kg}

of a substance by

1\text{ K}

(or

1^\circ\text{C}

). Because it is normalized per unit mass, specific heat capacity depends only on the chemical nature and state of the material, not on the total mass of the object.

Step-by-Step Solution

Distinguish between heat capacity and specific heat capacity.

Heat capacity (

C = mc

) is an extensive property that depends on the mass of the body, whereas specific heat capacity (

c = \frac{Q}{m\Delta T}

) is an intensive property characteristic of the material itself.

To identify whether mass affects specific heat capacity.

Apply the concept of intensive properties to the two copper spheres.

Since both spheres are composed of the same material (pure copper), their specific heat capacities are identical regardless of their difference in mass.

Intensive physical properties do not change with mass or sample size.

Key Concept

Intensive vs Extensive Thermal Properties

Question 6532Question →

Match each commercial organization listed on the left with its corresponding organizational feature or scope of membership on the right.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Trade Association matches with the association of business firms operating within the exact same line of trade; Chamber of Commerce matches with the voluntary association of business enterprises from diverse trades within a specific geographical area; Manufacturers' Association matches with the organization of producers formed specifically to advocate for industrial policy and promote manufacturing.

The match accurately pairs each commercial organization with its core structural boundary: Trade Associations are sector-specific, Chambers of Commerce are geographically based multi-industry groups, and Manufacturers' Associations represent industrial producers.

Step-by-Step Solution

Analyze the scope of a Trade Association

Trade Associations are sector-bound bodies formed by firms engaged in identical commercial activities.

Their main objective is maintaining professional codes and standards within a specific line of business.

Analyze the scope of a Chamber of Commerce

Chambers of Commerce are geographical bodies uniting merchants, bankers, and industrialists in a specific region.

Membership is based on locality rather than a shared product line.

Analyze the scope of a Manufacturers' Association

Manufacturers' Associations specifically cater to industrial producers.

They focus on industrial growth, tariffs on raw materials, and encouragement of domestic factory outputs.

Key Concept

Distinction between sector-specific trade associations, geographical multi-industry chambers of commerce, and industrial manufacturing bodies.

Question 6533Question →

Match each poetic excerpt provided below with its dominant figure of speech.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Each poetic excerpt matches its dominant figure of speech based on structural and semantic features: 'The sea bared her bosom to the moon' matches Personification; 'O Wild West Wind, thou breath of Autumn's being' matches Apostrophe; 'My love is like a red, red rose' matches Simile; and 'Parting is such sweet sorrow' matches Oxymoron.

Each excerpt displays specific key device indicators: personification gives the sea human physical qualities; apostrophe directly addresses the West Wind; simile links love and a rose via 'like'; and oxymoron pairs contrasting words ('sweet' and 'sorrow').

Step-by-Step Solution

Analyze 'The sea bared her bosom to the moon'

Identified human anatomical reference ('bosom') and action ('bared') applied to the sea.

Endowing non-human subjects with human characteristics defines personification.

Analyze 'O Wild West Wind, thou breath of Autumn's being'

Identified direct address markers ('O...', 'thou') directed at an inanimate natural element.

Directly speaking to an abstract concept, personified object, or absent entity defines apostrophe.

Analyze 'My love is like a red, red rose'

Identified an explicit comparison between 'love' and a 'rose' utilizing 'like'.

Using comparative words such as 'like' or 'as' to draw a direct parallel forms a simile.

Analyze 'Parting is such sweet sorrow'

Identified contiguous pairing of contradictory words ('sweet' and 'sorrow').

Placing opposite or contradictory terms in immediate succession forms an oxymoron.

Key Concept

Identifying figures of speech and poetic imagery through structural markers and semantic features.

Question 6534Question →

A cooperative association of individuals periodically pools personal savings specifically to offer long-term loans to its members for home construction and real estate acquisition. Which non-bank financial institution operates on this mutual self-help mortgage financing framework?

Building society

Merchant bank

Discount house

Commercial bank

Show answer & explanation

Answer: Building society

Answer

Building society

Building societies are specialized non-bank financial institutions formed on a mutual cooperative basis where members pool funds to receive long-term loans for purchasing or constructing residential housing.

Step-by-Step Solution

Analyze the institutional characteristics in the stem

Identified key features: mutual member savings, non-bank status, and long-term financing for residential building/mortgages.

Non-bank financial institutions are distinguished by their specific funding mechanisms and operational mandates.

Differentiate building societies from other financial institutions

Building societies operate as financial cooperatives specifically tailored to mobilize savings for mortgage financing.

Unlike money market institutions or commercial banks, building societies focus primarily on housing development through pooled member contributions.

Key Concept

Building Societies and Non-Bank Financial Intermediation

Question 6535Question →

Match each type of insurance policy on the left with its correct description or coverage on the right.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Fidelity Guarantee Policy matches protection against employee fraud; Endowment Policy matches combined savings and life protection; Freight Insurance Policy matches coverage for lost cargo transportation fees; Consequential Loss Policy matches compensation for lost business profits during fire recovery.

Each type of insurance policy targets a distinct commercial risk: Fidelity Guarantee addresses employee fraud; Endowment Policy provides life cover with savings; Freight Insurance protects shipping fee income; and Consequential Loss Insurance indemnifies lost operational profits after property fire damage.

Step-by-Step Solution

Identify the accident policy that addresses internal employee fraud.

Match Fidelity Guarantee Policy to protection against employee dishonesty.

Employers obtain fidelity guarantee insurance to safeguard against dishonest staff handling company funds.

Distinguish between pure life protection policies and investment-linked life policies.

Match Endowment Policy to combined savings and life cover.

Endowment policies mature at a specific term or payout upon premature death, combining savings with protection.

Analyze marine insurance policies covering carrier revenue rather than physical goods.

Match Freight Insurance Policy to coverage for lost shipping charges.

Freight refers to the fee charged for moving cargo, which is lost if the vessel fails to complete delivery.

Evaluate fire policy extensions addressing indirect operational losses.

Match Consequential Loss Policy to compensation for lost business profits.

Standard fire insurance replaces physical assets, whereas consequential loss insurance offsets income lost while business operations are stalled.

Key Concept

Classification and coverage of specific insurance policies under Life, Fire, Marine, and Accident insurance

Question 6536Question →

A solid sample of mass $0.25\text{ kg}$ at its melting point is completely melted by an electric heater rated at $700\text{ W}$ . If the specific latent heat of fusion of the substance is $3.36 \times 10^5\text{ J kg}^{-1}$ , what is the time taken to melt the sample completely at a constant temperature?

120\text{ s}

420\text{ s}

210\text{ s}

1200\text{ s}

Show answer & explanation

Answer: $120\text{ s}$

Answer

The time taken to completely melt the block is

120\text{ s}

The thermal energy required to melt a substance at its melting point depends solely on its mass and specific latent heat of fusion (

Q = m L_f

). Calculating

Q = 0.25\text{ kg} \times 3.36 \times 10^5\text{ J kg}^{-1} = 84,000\text{ J}

and dividing by heater power

700\text{ W}

yields exactly

120\text{ s}

Step-by-Step Solution

Calculate the total thermal energy required for phase change.

Q = m L_f = 0.25\text{ kg} \times 3.36 \times 10^5\text{ J kg}^{-1} = 84,000\text{ J}

During a change of state at constant temperature, thermal energy is given by

Q = m L_f

Relate energy supplied by the electrical heater to time using power formula.

Q = P \times t \implies t = \frac{Q}{P}

Power is the rate of energy transfer per unit time (

P = \frac{Q}{t}

Substitute the energy and power values to solve for time

t

t = \frac{84,000\text{ J}}{700\text{ W}} = 120\text{ s}

Dividing total energy required by power gives time in seconds.

Key Concept

Latent Heat of Fusion and Electrical Thermal Energy

Question 6537Question →

A particle of mass $6.63 \times 10^{-27}\text{ kg}$ has a de Broglie wavelength of $2.0 \times 10^{-13}\text{ m}$ . What is the speed of the particle in $\text{m/s}$ ? (Take Planck's constant $h = 6.63 \times 10^{-34}\text{ J}\cdot\text{s}$ )

Show answer & explanation

Answer: 500000

Answer

The speed of the particle is

500,000\text{ m/s}

(or

5.0 \times 10^5\text{ m/s}

According to de Broglie's hypothesis, the matter wavelength

\lambda

of a particle is related to its momentum

p = m v

\lambda = \frac{h}{m v}

. Rearranging for speed yields

v = \frac{h}{m \lambda}

. Substituting

h = 6.63 \times 10^{-34}\text{ J}\cdot\text{s}

m = 6.63 \times 10^{-27}\text{ kg}

, and

\lambda = 2.0 \times 10^{-13}\text{ m}

gives

v = \frac{6.63 \times 10^{-34}}{6.63 \times 10^{-27} \times 2.0 \times 10^{-13}} = 500,000\text{ m/s}

Step-by-Step Solution

Identify the given physical quantities and formula

m = 6.63 \times 10^{-27}\text{ kg}

\lambda = 2.0 \times 10^{-13}\text{ m}

h = 6.63 \times 10^{-34}\text{ J}\cdot\text{s}

. The de Broglie equation is

\lambda = \frac{h}{m v}

The de Broglie wavelength formula relates matter wave properties to particle momentum.

Isolate the target variable (speed

v

)

v = \frac{h}{m \lambda}

Algebraic manipulation is needed to solve directly for speed.

Substitute parameters and compute the result

v = \frac{6.63 \times 10^{-34}}{(6.63 \times 10^{-27})(2.0 \times 10^{-13})} = \frac{6.63 \times 10^{-34}}{1.326 \times 10^{-39}} = 500,000\text{ m/s}

Performing scientific notation division yields the numerical particle speed.

Key Concept

de Broglie Wavelength and Particle Speed

Question 6538Question →

A manufacturing firm in Nigeria produces custom heavy industrial power generators tailored to the specific technical demands of large textile mills. The firm decides to market and deliver these generators directly to industrial buyers rather than using wholesalers and retailers. What is the primary reason for choosing this direct channel of distribution?

The high technical complexity and unit value of the equipment require direct negotiation, specialized installation, and after-sales technical support.

Eliminating wholesalers relieves the manufacturer of the responsibility and costs associated with holding inventory and warehousing.

Selling directly converts the exchange activity from commercial trade into an auxiliary service to trade.

Direct channels allow the manufacturer to issue a credit note whenever an undercharge occurs during final billing.

Show answer & explanation

Answer: The high technical complexity and unit value of the equipment require direct negotiation, specialized installation, and after-sales technical support.

Answer

The high technical complexity and unit value of the equipment require direct negotiation, specialized installation, and after-sales technical support.

Industrial machinery is defined by high unit value, technical complexity, and custom design specifications. Manufacturers of such goods utilize direct distribution channels to negotiate directly, handle complex logistics, and provide essential technical installation and servicing.

Step-by-Step Solution

Analyze product characteristics

Custom heavy industrial machinery exhibits high unit cost, low purchase frequency, and specialized engineering setup requirements.

The physical and technical nature of a product strongly dictates channel length.

Evaluate middleman suitability

Middlemen such as wholesalers and retailers lack the technical expertise and finance required to store or demonstrate specialized heavy capital goods.

Intermediaries are most effective for standardized, mass-consumed consumer goods.

Determine channel selection rationale

Direct distribution (Producer → Industrial User) enables direct seller-buyer technical communication, contract negotiation, and post-delivery servicing.

Direct channels suit high-value, highly technical industrial items.

Key Concept

Factors Influencing Choice of Distribution Channels

Question 6539Question →

Consider the following lines from William Shakespeare's *Romeo and Juliet*:

"O heavy lightness! Serious vanity!
Mis-shapen chaos of well-seeming forms!"

Which literary device is primarily employed in the pairing of contradictory words in these lines?

Oxymoron

Paradox

Metaphor

Irony

Show answer & explanation

Answer: Oxymoron

Answer

Oxymoron

The line uses an oxymoron because opposing words such as 'heavy' and 'lightness', as well as 'serious' and 'vanity', are placed right next to each other to create a striking figure of speech highlighting internal conflict.

Step-by-Step Solution

Analyze the poetic excerpt for structural patterns in word choice

Identified pairs of opposing terms placed immediately adjacent to each other: 'heavy lightness' and 'serious vanity'.

Observing how words interact grammatically and semantically reveals the figurative technique.

Distinguish between word-level contrast (oxymoron) and statement-level contrast (paradox)

Because contrasting words are directly juxtaposed in immediate succession, the device is classified as an oxymoron.

Oxymoron specifically refers to condensed, contiguous self-contradictory word pairs.

Key Concept

Oxymoron versus Paradox in Poetic Imagery

Question 6540Question →

Match each production participant or resource scenario on the left with its corresponding economic reward on the right.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Leasing raw land matches with Rent; factory technician effort matches with Wages / Salaries; returns on financial capital match with Interest; and business risk-taking matches with Profit.

Each participant represents a distinct factor of production: land yields rent to property owners, labour yields wages to workers for services rendered, capital yields interest to lenders providing funding or equipment, and enterprise yields profit to business owners for organizing resources and bearing risk.

Step-by-Step Solution

Identify the factor of production embodied by each economic participant.

Property owner = Land; Technician = Labour; Financial institution providing capital = Capital; Business founder = Enterprise.

Correct factor identification depends on whether the resource is natural (land), human effort (labour), man-made/monetary (capital), or risk-bearing organization (enterprise).

Match each identified factor to its specific economic reward.

Land earns Rent, Labour earns Wages/Salaries, Capital earns Interest, and Enterprise earns Profit.

Standard economic theory assigns distinct rewards to each of the four classical factors of production.

Key Concept

Factors of Production and Their Rewards

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Common Mistakes

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Common Mistakes

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Common Mistakes

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Key Concept

Common Mistakes

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Common Mistakes

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Common Mistakes

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Key Concept

Common Mistakes

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Common Mistakes

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Common Mistakes

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Common Mistakes

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Common Mistakes

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Key Concept

Common Mistakes

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Key Concept

Common Mistakes

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