Embibe Experts Solutions for Chapter: Simple Harmonic Motion, Exercise 6: Exercise (Conceptual Questions)

Which of the following equations does not represent a simple harmonic motion?

The phase difference between the displacement and acceleration of a particle performing linear $\mathrm{S}.\mathrm{H}.\mathrm{M}.$ is, 
 

The maximum velocity of a particle, executing simple harmonic motion with an amplitude $7 \mathrm{mm}$, is $4.4 \mathrm{m}/\mathrm{s}$. The period of oscillation is :

In the case of sustained forced oscillations the amplitude of oscillations:-

The amplitude of vibrations remains constant in the case of
$\left(\mathrm{i}\right)$ free vibrations
$\left(\mathrm{ii}\right)$ damped vibrations
$\left(\mathrm{iii}\right)$ maintained vibrations
$\left(\mathrm{iv}\right)$ forced vibrations

The time period of SHM of a particle is $12 \mathrm{s}$. The phase difference between the position at $t=3 \mathrm{s} \text{and} t=4 \mathrm{s}$ will be,

At a point, two simple harmonic motion are acting along the same direction. These are $y_1=a_1\sin \omega t \text{and} y_2=a_2\sin (\omega t+\varphi )$. The resultant motion is also a simple harmonic motion whose amplitude will be,

In a sonometer wire, the tension is maintained by suspending a mass M from free end of wire. The fundamental frequency of the wire is N Hz. If the suspended mass is completely immerged in water the fundamental frequency will