Question

Assertion `:` A simple harmonic motion of amplitude `A` has a time period `T`. The acceleration of the oscillator when its displacement is half the emplitude is `2pi^(2)A//T^(2).`
Reason`:` In S.H.M., acceleration is directly proportional to the displacement
A. both, Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B. both, Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
C. Assertion is true but the Reason is false.
D. both,Assertion and Reason are false.

Answer 1

Correct Answer - a
Here, both assertion and reason are correct and reason is the correct explanation of assertion. ltbr. Acceleration, `a=-omega^(2)y=-omega^(2)A//2`
`=-(4pi^(2))/(T^(2))xx(A)/(2)=-(2pi^(2)A)/(T^(2))`