Tag: physics

directly proportional to the restoring force

inversely proportional to the restoring force

independent of restoring force

independent of any force acting on the particle

the particle will execute SHM inside the shell

the particle will oscillate inside the shell, but the oscillations are not simple harmonic

the particle will not oscillate, but the speed of the particle will go on increasing

none of these

$\sqrt{3}A _0$

$\dfrac{A _0}{2}$

$A _0$

$\dfrac{3}{2}A _0$

Never in equilibrium because it is in motion

Never in equilibrium because there is always a force

In equilibrium at the ends of its path because of zero velocity there

In equilibrium at the centre of its path because the acceleration is zero there

$A$

$A\sqrt {\dfrac{M}{{M + m}}} $

$A\left( {\dfrac{M}{{M + m}}} \right)$

$A\left( {\dfrac{{M + m}}{m}} \right)$

$ \sin t + \cfrac{1}{2} \cos 2t$

$ \cos t - \cfrac{1}{2} \sin 2t$

$ \sin t + \cfrac{1}{2} \sin 2t$

$ \sin t - \cfrac{1}{2} \sin 2t$

$y = A \sin ( \alpha t + k x )$

$y = A \cos ( o t + k x )$

$y = A \sin ( a t - k x )$

$y = - 4 \tan ( \alpha x - k x )$

Periodic

Oscillatory

$SHM$

Both (1) & (2)

$0.6 m$

$0.2 m$

$0.4 m$

$0.1 m$

A simple harmonic motion is necessarily periodic.

A simple harmonic motion is necessarily oscillatory.

An oscillatory motion is necessarily periodic.

A periodic motion is necessarily oscillatory.