Q.

The maximum acceleration of a particle in SHM is made twice keeping the  maximum speed to be constant. It is possible when

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a

amplitude of oscillation is doubled while frequency remains constant

b

amplitude of oscillation is doubled while frequency is halved

c

amplitude of oscillation is halved while frequency is doubled

d

amplitude of oscillation remains constant while frequency is doubled

answer is C.

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Detailed Solution

amax=Aω2.....(1) vmax=Aω........(2) ⇒amax=vmaxω Since, vmax  is constant, to double amax , ω should be doubled.   From (1), A should be halved.
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