Question

Assertion :For a particle performing SHM, its speed decreases as it goes away from the mean position. Reason: In SHM, the acceleration is always opposite to the velocity of the particle.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

in SHM
$v=\omega \sqrt{A^2-x^2}$
If we move away from mean position, $x$ increases, so $v$ will decrease. So the assertion is true.
and the reason is incorrect since in SHM, the acceleration is always opposite to the displacement of the particle, not always opposite to the velocity of the particle.
So the correct choice is 'C'.