Question

The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is :

• A. 6 s
• B. 8 s
• C. 12 s
• D. 36 s

Answer 1

Answer: (D)

36 s

Answer 2

Time taken by the harmonic oscillator to move from mean position to half of amplitude is

$\frac{T}{12}$

Then, $\frac{T}{12}=3$

$T= 36$ $sec$

Hence, the correct option is (D): $36\; sec$