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An insect of negligible mass is sitting ...

An insect of negligible mass is sitting on a block of mass M, tied with a spring of force cosntant k. The block performs simple harmonic motion with amplitude A in front of aplane mirror as shown, teh maximum speed of insect relative to its image will be

A

`A(sqrt((k)/(M)))`

B

`(A(sqrt(3)))/(2) (sqrt((k)/(M)))`

C

`A(sqrt(3)) (sqrt((k)/(M)))`

D

`2a (sqrt((M)/(k)))`

Text Solution

Verified by Experts

The correct Answer is:
C

`v_(0)=V_(I)=(omega)A = (sqrt((k)/(M)))A`
`v_r=sqrt((v_(0))^(2) +(v_(1))^(2) -2(V_(0)) cos 120^(@))`
`sqrt(3) A (sqrt((k)/(M)))`.
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