Tag: oscillation - amplitude, time period and frequency of oscillation

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Questions Related to oscillation - amplitude, time period and frequency of oscillation

Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

Uniform circular motion can also be represented by a simple harmonic oscillator.
State whether given statement is True/False?

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The above statement is true as we can represent uniform circular motion by simple harmonic oscillator.

Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

The bye-bye gesture, we do using hands is an example of 

  1. Periodic motion

  2. Oscillatory motion

  3. Linear motion

  4. Circular motion
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The motion of the hand is an oscillatory motion, as the motion repeats in a finite interval of time and the to and fro motion happens in a given time period

As the hand moves to one extreme, a restoring force acts in the opposite direction to move it back to the mean and then to the other extreme position. Thus, the bye-bye gesture of the hand is an oscillating motion


The correct option is (b)

Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

"The motion of a particle with a restoring force gives oscillatory motion". Which of the following forces can be a restoring force for the oscillatory motion.

  1. Frictional force

  2. A constant force F

  3. A time varying force opposite to direction of motion

  4. Force due to a spring
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Frictional force is a constant force acting opposite to the direction of motion
A constant force only makes an object to move in one direction
A time varying force makes an object to move in one direction with its speed increasing
Force due to a spring, keeps varying, as the object is moved away from its mean position and thus acts as a restoring force

The correct option is (d)

Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

In periodic motion, the displacement is

  1. directly proportional to the restoring force

  2. inversely proportional to the restoring force

  3. independent of restoring force

  4. independent of any force acting on the particle
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The displacement of the body from its equilibrium is directly proportional to the restoring force. Therefore, higher the displacement, higher is the restoring force.

The correct option is (a)

Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

A thin spherical shell of mass $M$ and radius $R$ has a small hole. A particle of mass $m$ is released at its mouth. Then

  1. the particle will execute SHM inside the shell

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

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

  4. none of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Firstly ,given that it is a  thin shell i.e hollow sphere then it will perform oscillation on SHM.

In case of solid sphere it performs SHM.

Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

On the superposition of the two waves given as $y _1=A _0 \sin (\omega t-kx)$ and $y _2=A _0\cos \left(\omega t-kx+\dfrac{\pi}{6}\right) $the resultant amplitude of oscillations will be 

  1. $\sqrt{3}A _0$

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

  3. $A _0$

  4. $\dfrac{3}{2}A _0$
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

A particle oscillating in simple harmonic motion is :

  1. Never in equilibrium because it is in motion

  2. Never in equilibrium because there is always a force

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

  4. In equilibrium at the centre of its path because the acceleration is zero there
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

A block of mass $M$ is performing $SHM$ with amplitude $A$ on a smooth horizontal surface$.$ At the extreme position a small block of mass $m$ falls vertically and sticks to$M.$ then$,$ amplitude of oscillation will be                                               

  1. $A$

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

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

  4. $A\left( {\dfrac{{M + m}}{m}} \right)$
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

A simple harmonic oscillator of angular frequency $2$ rad/s is acted upon by an external force $F = \sin t$ N. If the oscillator is at rest in its equilibrium position at $t= 0$, its position at later times is proportional to:

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

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

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

  4. $ \sin t - \cfrac{1}{2} \sin 2t$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This is a forced oscillation problem. The equation of motion is x'' + 4x = sin(t). The particular solution is of the form x = C*sin(t). Plugging in: -C*sin(t) + 4*C*sin(t) = sin(t) => 3C = 1 => C = 1/3. The general solution includes the homogeneous part A*sin(2t) + B*cos(2t). Matching initial conditions leads to the correct form.

Multiple choice physics sound: production of sound oscillation - amplitude, time period and frequency of oscillation time period, frequency and amplitude of sound oscillatory and periodic motion

Select proper wave equation which describes simple harmonic progressive wave travelling along positive $X$ axis.

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

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

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

  4. $y = - 4 \tan ( \alpha x - k x )$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A progressive wave traveling in the positive x-direction is represented by a function of (wt - kx).