Question

Assertion In the relation, $n=\frac{1}{2 l} \sqrt{\frac{T}{m}}$, where symbols have standard meaning, $m$ represents total mass.
Reason Linear mass density = mass/volume.

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

Answer 1

Answer: (C)

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