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Q.

If the displacement of a particle executing SHM is given by in metre, then the frequency and maximum velocity of the particle are:


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a

35 Hz, 66 m/s

b

45 Hz, 66 m/s

c

58 Hz, 132 m/s

d

35 Hz, 132 m 

answer is A.

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Detailed Solution

Concept: In this numerical we are talking about frequency and maximum velocity of particle executing SHM. And the given formula of SHM is Question Image Comparing it with the standard SHM formula  Question ImageWe get, A=0.30, Question Image=220 rad/sec and Question Image=0.64
So, for frequency, we know that:
Question ImageHence, frequency is 35 Hz. And, in case of maximum velocity:
Question ImageSo, option (1) is correct. The maximum velocity is 66 m/s and frequency is 35 Hz.
 
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