Question 1 :
What is the effect on the time period of a simple pendulum if the mass of the bob is doubled?

Question 3 :
Assertion : If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes double.<br>Reason : The total energy is directly proportional to the amplitude of vibration of the harmonic oscillator.

Question 5 :
Non harmonic motion is a motion of a particle in which

Question 7 :
A body of mass 1 kg is executing S.H.M., its displacement y cm at t seconds is given by&#160;y = 6 sin (100t + $\pi$/4). Its maximum kinetic energy&#160;is :<br/>

Question 9 :
Any oscillation in which the amplitude of the oscillating quantity decreases with time is termed as<br>

Question 10 :
Which one of the following statements is truefor the speed 'v' and the acceleration 'a' of aparticle executing simple harmonic motion

Question 11 :
Vibrations, whose amplitudes of oscillation decrease with time, are called :

Question 12 :
For a particle in SHM the K.E. at any instant is given by K= k $ cos^{2}\omega t $ . The total energy of SHM is

Question 13 :
The equation of a simple harmonic motion is given by $y=6\sin{10\pi t}+8\cos{10\pi t}$. The initial phase of this motion is _____

Question 14 :
A body of mass $20$g connected to a spring of spring constant k, executes simple harmonic motion with a frequency of $(\dfrac{5 }{\pi})$Hz. The value of spring constant is

Question 15 :
The time taken by the bob of a pendulum to complete one oscillation is called its _______<br>

Question 16 :
The maximum speed of a body vibrating under S.H.M. with time period of $ \pi/4 $ s amplitude 7 cm is

Question 18 :
The amplitude of a particle executing $S.H.M$ with frequency of $60\ Hz$ is $0.01\ m$. The maximum value of the acceleration of the particle is:

Question 19 :
A mass $m= 100\ gms$ is attached at the end of a light spring which oscillates on a friction less horizontal table with an amplitude equal to $0.16\ meter$ and the time period equal to $2\ sec$. Initially the mass is released from rest at $t=0$ and displacement $x= -0.16\ meter$. The expression for the displacement of the mass at any time $(t)$ is

Question 20 :
The equation of motion of a particle is $x = a cos(\alpha t)^2$. The motion is