Question

Assertion: In the relation`f = (1)/(2l) sqrt((T)/(m))`, where symbols have standard meaning , m represent linear mass density.
Reason: The frequency has the dimensions linear of time.
A. If both assertion and reason are true and reason is the correct explation of assertion.
B. If both assertion 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

Correct Answer - b
From `f = (1)/(2l)sqrt((T)/(m)) , f^(2) = (T)/(4l^(2)m)`
or `m = (T)/(4l^(2)f^(2)) = ([MLT^(-2)])/(L^(2)T^(-2))= (M)/(L) = ("Mass")/("Length") =` linear mass density