Oscillations - Result Question 29
32. There is a body having mass $m$ and performing S.H.M. with amplitude $a$. There is a restoring force $F=-k x$. The total energy of body depends upon
(a) $k, x$
(b) $k, a$
(c) $k, a, x$
(d) $k, a, v$
[2001]
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Answer:
Correct Answer: 32. (b)
Solution:
- (b) Total Energy of body performing simple harmonic motion $=\frac{1}{2} m \omega^{2} a^{2}=\frac{1}{2} ka^{2}$
where $k=m \omega^{2}$
$ T . E .=K . E .+P . E .=\frac{1}{2} m(a^{2}-x^{2}) \omega^{2}+\frac{1}{2} m \omega^{2} x^{2} $
Hence energy depends upon amplitude and $k$ (spring constant).
