Tag: oscillations

Quizzes (16) Questions (206)

Questions Related to oscillations

Multiple choice force in shm oscillations oscillation and waves physics

A particle is in S.H.M of amplitude $ 2$ cm. At extreme position the force is $4$N. At the point mid-way between mean and extreme position, the force is :

  1. $1$ N
  2. $2$N
  3. $3$N
  4. $4$N
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Amplitude = 2 cm
Force = 4N
$F = mw^{2}A=4$
$F _{1} = mw^{2}x$

Since $F$ is directly proportional to $x$ so , at midpoint the force when the amplitude is $2 \ cm$ will be $2N$

Multiple choice force in shm oscillations oscillation and waves physics

A 1 kg mass executes SHM with an amplitude 10 cm, it takes $2\pi$ seconds to go from one end to the other end. The magnitude of the force acting on it at any end is :

  1. 0.1 N

  2. 0.2 N

  3. 0.5 N

  4. 0.05 N
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

As $  w  = \cfrac{2\pi}{T} = 1 \ rad/sec $ ;    Amplitude  $A  = 0.1 m$
magnitude of  force $ = m \times w^{2}.A$
                                  $=  0.1 N$

Multiple choice force in shm oscillations oscillation and waves physics

An elastic ball of density $d$ is released and it falls through a height $h$ before striking the surface of liquid of density $\rho(d < \rho)$. The motion of ball is:

  1. Periodic

  2. S.H.M.

  3. Circular

  4. Parabolic
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When the ball hits the liquid, it experiences a buoyant force greater than its weight (since d < rho), causing it to decelerate and eventually rise. It will oscillate between the surface and the depth, making the motion periodic, but it is not SHM because the forces are not linear with displacement.

Multiple choice force in shm oscillations oscillation and waves physics

A body of mass 1/4 kg is in S.H.M and its displacement is given by the relation $y= 0.05 sin(20t+\dfrac{\pi }{2})$ m. If $t$ is in seconds, the maximum force acting on the particle is:

  1. $5$ N
  2. $2.5$ N
  3. $10$ N
  4. $0.25$ N
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$F= m\omega^{2}A$
$\omega = 20   rad / sec$
$A =   0.05   m$
Thus
$F= \dfrac{1}{4}\times 20\times 20\times \dfrac{1}{20}$
$=5 N $

Multiple choice resonance oscillations physics

A resonance tube is resonated with tuning fork of frequency 256 Hz. If the length of first and second resonating air columns are 32 cm and 100 cm, then end correction will be 

  1. $1 cm$
  2. $2 cm$
  3. $4 cm$
  4. $6 cm$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a resonance tube, the resonance condition is L + e = (2n-1) * lambda / 4. Using the first two resonances, L1 + e = lambda / 4 and L2 + e = 3 * lambda / 4, we find 2 * (L2 - L1) = lambda. Substituting the values, lambda = 2 * (100 - 32) = 136 cm, so L1 + e = 136 / 4 = 34 cm; thus, e = 34 - 32 = 2 cm.

Multiple choice resonance oscillations physics

If $\omega _{0}$ is natural frequency of damped forced oscillation and $p$ that of driving force, then for amplitude resonance

  1. $p _{r}= \omega _{0}$
  2. $p _{r}< \omega _{0}$
  3. $p _{r}> \omega _{0}$
  4. $p _{r}> = \omega _{0}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Amplitude resonance occurs when the driving frequency p equals the natural frequency omega_0 in an undamped system, or slightly below it in a damped system. However, in standard textbook contexts for forced oscillations, p = omega_0 is the condition for amplitude resonance.

Multiple choice resonance oscillations physics

Which of the following is an example of mechanical resonance?

  1. A child on a swing.

  2. A pendulum.

  3. A tuning fork.

  4. Nuclear magnetic resonance
Reveal answer Fill a bubble to check yourself
A,B Correct answer
Explanation

$Answer:-$ A,B

Mechanical resonance is the tendency of a mechanical system to respond at greater amplitude when the frequency of its oscillations matches the system's natural frequency of vibration (its resonance frequency or resonant frequency) than it does at other frequencies. It may cause violent swaying motions and even catastrophic failure in improperly constructed structures including bridges, buildings and airplanes—a phenomenon known as resonance disaster.

Various examples of mechanical resonance include:-

  • Most clocls keep time by mechanical resonance in a balance wheel, pendulum, or quartz crystal.
  • The resonance of the basilar membranein the ear.
  • Making a child's swing swing higher by pushing it at each swing.
  • A wineglass breaking when someone sings a loud note at exactly the right pitch.

Multiple choice resonance oscillations physics

 A mechanical system is oscillating at resonance with a constant amplitude. Which one of the following statements is not correct?

  1. The applied force prevents the amplitude from becoming too large.

  2. The frequency of the applied force is the same as the natural frequency of oscillation of the system.

  3. The total energy of the system is constant.

  4. The amplitude of oscillations depends on the amount of damping.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The applied force prevents the amplitude from becoming too large.


Option A is correct.

Multiple choice resonance oscillations physics

Which of the following is an example of acoustic resonance?

  1. Feedback in guitars

  2. A pendulum

  3. Nuclear magnetic resonance

  4. A swing
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$Answer:-$ A

Acoustic resonance is a phenomenon that consists of a given acoustic system amplifying a sound whose frequency matches one of its own natural frequencies of vibration (its resonance frequencies).
The resonance of a tube of air is related to the length of the tube, its shape, and whether it has closed or open ends. Musically useful tube shapes are conical and cylindrical . A pipe that is closed at one end is said to be stopped while an open pipe is open at both ends. Modern orchestral flutes behave as open cylindrical pipes; clarinets and lip-reed instruments (brass instruments) behave as closed cylindrical pipes; and saxophones, bassoons as closed conical pipes. Vibrating air columns also have resonances at harmonics, like strings (in guitars).