Question

A particle executing S.H.M. has an amplitude A and periodic time T. The minimum time required by the particle to get displaced by (A/√2) from its equilibrium position is …….. s.

(A) T 

(B) T/4 

(C) T/8 

(D) T/16.

Answer 1

The correct option  (C) T/8

Explanation:

y = A sin (ωt + ɸ)

(A/√2) = A sin (ωt) ----- ɸ = 0

∴ sin ωt = (1/√2)

ωt = sin^–1 (1/√2) = (π/4)

∴ (2π/T) × t = (π/4)

∴ t = (T/8)