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Q.

A particle starts from rest and performing circular motion of constant radius with speed given by v=αx where a is a constant and x is the distance covered. The correct graph of magnitude of its tangential acceleration (at) and centripetal acceleration (ac) versus t will be

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a

b

c

d

answer is D.

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Detailed Solution

v=αx⇒ dxdt=αx⇒ x=α2t24at=vdvdx=αx⋅α2x=α22= constant aC=v2r=α2xr=α2r×α2t24⇒aC∝t2
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