A particle of mass m is executing oscillations about the origin on the x-axis. Its potential energy is V(x)=kx^(2). Where k is a positive constant. If the amplitude of oscillation is a, then its time period T is……………

A particle of mass m is executing oscillations about the origin on the

1.	A particle of mass m is executing oscillations about the origin on the x-axis. Its potential energy is V(x)=kx^(2). Where k is a positive constant. If the amplitude of oscillation is a, then its time period T is……………
Answer» Proportional to `(1)/(sqrt(a))` independent of a proportional to `sqrt(a)` proportional to `a^(3//2)` SOLUTION :SINCE `V(x)=Kx^(2)`, the motion is simple harmonic. In SHM, the time PERIOD is independent of the amplitude of oscillation.