Question

If for a particle moving in SHM, there is a sudden increase of $1$% in restoring force just as particle passing through mean position, percentage change in amplitude will be

• A. $1$%
• B. $2$%
• C. $0.5$%
• D. zero

Answer 1

The correct option is C $0.5$%

As force in a simple harmonic motion is directly proportional to the square of amplitude.

$F\propto A^2$

$\frac{△F}{F}=2\frac{△A}{A}=\frac{△F}{F}\times 100$

$=2\frac{△A}{A}\times 100$ % change in A.

% change in amplitude

$=\frac{1}{2}=0.5$