The maximum acceleration of a particle in SHM is made twice keeping the maximum speed to be constant. It is possible when
amplitude of oscillation is doubled while frequency remains constant
amplitude of oscillation is doubled while frequency is halved
amplitude of oscillation is halved while frequency is doubled
amplitude of oscillation remains constant while frequency is doubled
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.