Physics And Measurement Question 20
Question: Assertion: In the relation $ f=\frac{1}{2l}\sqrt{\frac{T}{m},} $ where symbols have standard meaning, m represent linear mass density. Reason: The frequency has the dimensions of inverse of time.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: B
Solution:
From, $ f=\frac{1}{2l}\sqrt{\frac{T}{m}}, $
$ f^{2}=\frac{T}{4l^{2}m} $ or, $ m=\frac{T}{4l^{2}f^{2}}=\frac{[ML{{T}^{-2}}]}{L^{2}{{T}^{-2}}}=\frac{M}{L}=\frac{Mass}{length} $ = linear mass density.
