Question

According to a scientist, he applied a force $F=-C{X}^{1/3}$ on a particle and the particle is performing SHM. No other force acted on the particle. He refuses to tell whether c is a constant or not. For the motion to be in SHM

• A. $c=0$
• B. as x increases c decreases
• C. as x increases c remains constatnt
• D. the motion cannot be SHM

Answer 1

The correct option is C as x increases c remains constatnt

According to concept S.H.M, we know that restoring force increases with increases of displacement. In this case, this will happen when 'C' remains constant at $x$ increases.