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Physics · JEE | WAVES

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The fundamental frequency of a pipe closed at one end is half that of an open pipe of the same length. Reason (R): A closed pipe has a node at the closed end and an antinode at the open end, restricting allowed wavelengths to \( 4L/(2n+1) \). In the light of the above statements, choose the correct answer from the options given below:

  1. A
    Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. B
    Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. C
    (A) is true but (R) is false.
  4. D
    (A) is false but (R) is true.
View Answer & Solution

Correct answer · Option A

Both (A) and (R) are true and (R) is the correct explanation of (A).

Explanation

Open pipe fundamental frequency is \( \nu = \frac{v}{2L} \), while closed pipe fundamental frequency is \( \nu = \frac{v}{4L} \), making it half due to boundary conditions.
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