Question 1 :
The damping force on a oscillator is directly proportional to the velocity. The Unit of the constant of proportionality are:
Question 2 :
Which of the following statements is /are true for a simple harmonic oscillator?
Question 4 :
Velocity at mean position of a particle executing SHM is v, then velocity of the particle at a distance equal to half of the amplitude is
Question 5 :
A simple harmonic oscillator oscillates, with an amplitude A. At what point of its motion , is the power delivered to it by the restoring force maximum -<br>
Question 6 :
A particle executing simple harmonic motion with an amplitude A and angular frequency $\omega$. The ratio of maximum acceleration to the maximum velocity of the particle is
Question 8 :
Average kinetic energy in one time period of a simple harmonic oscillator whose amplitude is $A$, angular velocity $\omega$ and mass $m$, is<br>
Question 9 :
The motion described by the needle of sewing machine is oscillatory motion. True or false
Question 10 :
A particle executes simple harmonic oscillation<br>with an amplitude a. The period of oscillation is<br>T. The minimum time taken by the particle to<br>travel half of the amplitude from the<br>equilibrium position is:<br><br>
Question 11 :
A simple pendulum is swinging in vertical plane. The ratio of its potential energy when it is making $45^0$ and $90^0$ with the vertical is
Question 12 :
A force F= -4x-8 is acting on a block where x is position of block in meter. The energy of oscillation is 32 J, the block oscillate between two points Position of extreme position is:
Question 13 :
The amplitude of a particle executing simple harmonic motion with a frequency of $60 Hz$ is $0.01 m$. The maximum value of acceleration of the particle is
Question 14 :
The differential equation for a particle of mass 2kg executing SHM is $2\dfrac{d^2x}{dt^2}+x=0$. If amplitude of oscillation is 3 cm, then maximum velocity of the particle will be
Question 15 :
A plot of acceleration v/s displacement for a particle executing SHM gives a straight line
Question 16 :
A block of mass $200$ g executing SHM under the influence of a spring of spring constant $k = 90 N m^{-1}$ and a damping constant $b = 40 g s^{-1}$. Time taken for its amplitude of vibrations to drop to half of its initial values (Given, In $(1/2) = -0.693)$
Question 17 :
A particle is performing SHM of amplitude "A" and time period "T". Find the time taken by the particle to go from 0 to A /$\sqrt{2}$.
Question 18 :
A particle is performing simple harmonic motion.<br/>(i) its velocity-displacement graph is parabolic in nature<br/>(ii) its velocity-time graph is sinusoidal in nature<br/>(iii) its velocity-acceleration graph is elliptical in nature<br/>Correct answer is:
Question 19 :
A particle executes simple harmonic motion between $x = -A and x = +A$. The time taken for it to go from $0$ to $A/2$ to A is $T_2$. Then
Question 20 :
Assertion: In $SHM$, acceleration is always directed towards the mean position.
Reason: In $SHM$, the body has to stop momentary at the extreme position and move back to mean position.
