A particle executes simple harmonic motion between x = -A and x = +A. If time taken by particle to go from x = 0 to A/2 is 2 s; then time taken by particle in going from x = A/2 to A is :
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A particle executes simple harmonic motion between x = -A and x = +A. If time taken by particle to go from x = 0 to A/2 is 2 s; then time taken by particle in going from x = A/2 to A is :

G1 Physics · Accepted Answer

Take x = A sin(ωt). From x = 0 to A/2, phase changes from 0 to π/6, so ωt₁ = π/6. From A/2 to A, phase changes from π/6 to π/2, i.e. π/3, so ωt₂ = π/3. Hence t₂/t₁ = 2 and t₂ = 4 s.