2020 · Q4
Which one of the following statements regarding motion is correct?
general-sciencephysics-mechanics
- AAll the periodic motions are necessarily simple harmonic
- BAll the simple harmonic motions are necessarily periodic motions
- CThere is no co-relation between the simple harmonic motions and the periodicity of motion
- DThe relation between the simple harmonic motion and periodic motion depends upon the mass of object undergoing the motion
Explanation
Simple harmonic motion, e.g. x = A sin(ωt), repeats identically after every period, so every SHM is necessarily a periodic motion. The converse fails: uniform circular motion or a bouncing ball is periodic but not simple harmonic, so A is false and C's denial of any relation is false. Mass affects the frequency of SHM, not whether it is periodic, ruling out D.