Assertion: In the relation f=(1/2l)√(T/μ) , where symbols have standard meaning, μ represent linear mass density. Reason: The frequency has the dimensions of inverse of time.

Question

Assertion: In the relation f=(1/2l)√(T/μ) , where symbols have standard meaning, μ 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

Tardigrade Admin · Accepted Answer

From, f-(1/2l)√(T/μ), f 2=(T/4 l2 μ) or, μ = (T/4 l2f 2)=([MLT-2]/L2T-2)=(M/L) =( textMass/ textlength)= linear mass density.

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

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

From, $f - \frac{1}{2 l} \frac{T}{μ}, f^{2} = \frac{T}{4 l ^{2} μ}$
or, $μ = \frac{T}{4 l ^{2} f ^{2}} = \frac{[ M L T ^{- 2} ]}{L ^{2} T ^{- 2}} = \frac{M}{L}$
$= \frac{Mass}{length} =$ linear mass density.

Q. Assertion: In the relation f=2l1​μT​​ , where symbols have standard meaning, μ represent linear mass density. Reason : The frequency has the dimensions of inverse of time.