Question

Difficulty: MediumColons, Semicolons, and Dashes

In 1948, physicist Richard Feynman introduced a pictorial representation for the mathematical expressions governing the behavior of subatomic particles. These diagrams served a vital _______ complex quantum field theory calculations that had previously taken weeks to complete.

Which choice completes the text so that it conforms to the conventions of Standard English?

  1. purpose: they simplifiedAnswer
  2. B
    purpose, they simplified
  3. C
    purpose; which simplified
  4. D
    purpose they simplified

Answer

purpose: they simplified
The option that uses a colon to connect the independent clauses is correct. The clause before the colon ('These diagrams served a vital purpose') is grammatically independent. The clause after the colon ('they simplified complex quantum field theory calculations...') is also independent and directly explains the purpose. Standard English conventions allow a colon to link two independent clauses when the second clause explains or illustrates the first.

Step-by-Step Solution

1
Identify the structure of the clauses surrounding the blank.
The first part of the sentence ('These diagrams served a vital purpose') is an independent clause. The second part ('they simplified complex quantum field theory calculations...') is also an independent clause that explains the first.
Determining clause independence is necessary to choose the correct punctuation.
2
Evaluate the punctuation rules for joining these clauses.
A colon can join two independent clauses when the second clause explains or expands upon the first. A semicolon cannot be followed by a dependent clause (such as 'which simplified...'), a comma alone cannot join two independent clauses, and omitting punctuation entirely creates a run-on sentence.
Applying conventions of Standard English to select the correct punctuation mark.

Key Concept

Using colons to connect independent clauses where the second explains the first.
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