Question

Assertion: In the relation $f=\frac{1}{2l}\sqrt{\frac{T}{\mu}}$ , where symbols have standard meaning, $\mu$ represent linear mass density.
Reason : The frequency has the dimensions of inverse of time.

• A. If both assertion and reason are true and reason is the correct explanation of assertion
• B. If both assertion and reason are true but reason is not the correct explanation of assertion
• C. If assertion is true but reason is false
• D. If both assertion and reason are false

Answer 1

Answer: (B)

From, $f-\frac{1}{2l}\sqrt{\frac{T}{\mu}},\, f ^{2}=\frac{T}{4 l^{2} \mu}$
or, $\mu = \frac{T}{4 l^{2}f ^{2}}=\frac{\left[MLT^{-2}\right]}{L^{2}T^{-2}}=\frac{M}{L}$
$=\frac{\text{Mass}}{\text{length}}=$ linear mass density.