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Q.

In a linear Simple Harmonic Motion (SHM)
(A) Restoring force is directly proportional to the displacement
(B) The acceleration and displacement are opposite in direction
(C) The velocity is maximum at mean position
(D) The acceleration is minimum at extreme points.

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a

(A), (B) and (C) only

b

(A),(B) and (D) only

c

(A), (C) and (D) only

d

(C) and (D) only

answer is B.

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Detailed Solution

detailed_solution_thumbnail

a=-ω2x

⇒a∝x 

⇒FR∝x

V=ωA2-x2

⇒Vmax=Aω  (at mean position)

⇒amax=ω2A   (at extreme position)

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