Oscillations - Result Question 15
18. Which one of the following statements is true for the speed $v$ and the acceleration $a$ of $a$ particle executing simple harmonic motion?
(a) When $v$ is maximum, $a$ is zero
[2004]
(b) When $v$ is maximum, $a$ is maximum
(c) Value of a is zero, whatever may be the value of $v$
(d) When $v$ is zero, a is zero
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Answer:
Correct Answer: 18. (a)
Solution:
- (a) When $v$ is maximum, $a$ is zero
$v=\omega \sqrt{A^{2}-x^{2}} ; \quad a=\omega^{2} x$ $v _{\max }$ at $x=0$, but at $x=0, a=0$