Assertion In the relation, n=(1/2 l) √(T/m), where symbols have standard meaning, m represents total mass. Reason Linear mass density = mass/volume.

Question

Assertion In the relation, n=(1/2 l) √(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

Tardigrade Admin · Accepted Answer

From n =(1/2 l) √(T/m), n2=(T/4 l2 m) m =(T/4 l2 n2)=([ MLT -2]/[ L 2 T -2])=([ M ]/[T])=( text mass / text length ) =linear mass density

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

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion

If both Assertion and Reason are true but Reason is not correct explanation of the Assertion

If Assertion is true but Reason is false

If Assertion is false but the Reason is true

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

Q. Assertion In the relation, n=2l1​mT​​, where symbols have standard meaning, m represents total mass. Reason Linear mass density = mass/volume.