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

Moderate

A

If both statement I and statement II are true and statement II is the correct explanation of statement I
B

If both statement I and statement II are true but statement II is not the correct explanation of statement I
C

If statement I is true but statement II is false
D

IF both statement I and statement II are false

Solution

From, $f = \frac{1}{2 l} \sqrt{\frac{T}{m}}, f^{2} = \frac{T}{4 l^{2} m}$
or $m = \frac{T}{4 l^{2} f^{2}} = \frac{[{MLT}^{- 2}]}{L^{2} T^{- 2}} = \frac{M}{L} = \frac{Mass}{Length}$
= linear mass density

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

SCAN ME