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PART - 2 CH - 13 Oscillations Physics - PART - 2 CH - 13 Oscillations

Gujarat Board (GSEB) - STD 11 Science - Physics (GSEB - English Medium). 162 questions in this chapter.

Question types

PART - 2 CH - 13 Oscillations question types

162 questions across 8 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

162
Questions
8
Question groups
5
Question types
Sample Questions

PART - 2 CH - 13 Oscillations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The mechanical energy of a particle performing simple harmonic motion is :
  • A
    directly proportional to the acceleration
  • B
    constantly proportional to the amplitude
  • ✓
    constantly proportional to the square of the amplitude
  • D
    directly proportional to the period of oscillations

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark
A hollow sphere made of metal is filled with water and hung by a long thread. A tiny hole has been made in the bottom through which water slowly seeps out. Now if the sphere is made to oscillate, then its time period :
  • A
    will continue to decrease
  • B
    will increase continuously
  • ✓
    first it will increase and then it will decrease
  • D
    will be certain

Answer: C.

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Q 3M.C.Q (1 Marks)1 Mark
If a simple pendulum is made to oscillate in water, then the time period :
  • A
    It will decrease a little
  • B
    will remain the same
  • ✓
    It will increase a little
  • D
    will double

Answer: C.

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Q 4M.C.Q (1 Marks)1 Mark
If the velocity of a particle moving in simple harmonic motion is $\text v_1$ and $\text v_2$ respectively from its mean position and distance, then the period of the particle is :
  • A
    $2 \pi \sqrt{\frac{ v _1^2- v _2^2}{x_2^2-x_1^2}}$
  • B
    $2 \pi \sqrt{\frac{x_1^2-x_2^2}{ v _1^2- v _2^2}}$
  • ✓
    $\sqrt{\frac{x_2{ }^2-x_1^2}{v_1^2-v_2^2}}$
  • D
    $2 \pi \sqrt{\frac{x_2^2+x_1^2}{ v _2^2+ v _1^2}}$

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark
The speed of a particle of mass $m$ denoted by $\frac{ d ^2 x}{ dt ^2}+$ $\alpha x=0$. Its angular frequency will :
  • ✓
    $\sqrt{\alpha}$
  • B
    $\alpha$
  • C
    $\frac{\alpha}{ m }$
  • D
    $\frac{ m }{\sqrt{\alpha}}$

Answer: A.

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Q 151 Marks Question1 Mark
The oscillator of a pendulum is negatively charged and a positively charged conductor plate is placed below it. The pendulum is made to oscillate. What will be the effect on the time period of the pendulum?
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Q 162 Marks Questions2 Marks
A body hanging from a spring can oscillate in a horizontal plane with angular velocity $\omega$ without friction or damping when it is stretched to a distance and then released. It passes through the equilibrium center with a velocity at time $t=0$. Find the amplitude of the resultant oscillation in terms of parameter $\omega_0, x_0$ and $v_0$.
[Hint : The equation $x=a \cos (\omega t+\theta)$ is negative keep in mind that the initial]
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Q 172 Marks Questions2 Marks
An object moves in simple harmonic motion with an amplitude of 5 cm and a frequency of 0.2 sec . Find the acceleration and velocity of the object when the displacement of the object is (a) 5 cm (b) 3 cm (c) 0 cm .
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Q 182 Marks Questions2 Marks
A circular disc of 10 kg liquid is hanging from a string attached to its centre. By turning the disc, it is freed by creating a twist in the wire. The period of torsional oscillation is 1.5 sec . The diameter of the disc is 15 cm . find the torsional spring constnat of the wire [The torsional spring constant is $\alpha, \tau=-\alpha \theta$ by the relation, here the elastic force pair is end is the torsion angle $\theta$ ].
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Q 192 Marks Questions2 Marks
Show that for a particle performing linear simple harmonic motion, the average kinetic energy of any period of oscillation is equal to the average potential energy of the same period.
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Q 202 Marks Questions2 Marks
Find the value of percentage change in the time period of the simple pendulum in the following situations :
(i) By increasing the length of pendulum by $5 \%$
(ii) On increasing the mass of the pendulum by $5\%$
(iii) By reducing the amplitude of pendulum by $5\%.$
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Q 223 Marks Question3 Marks
The time period of a mass hanging from an ideal spring is 2 seconds. If along with it 2 kg if the mass is added and the time period becomes 3 seconds find the value of $m$.
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Q 233 Marks Question3 Marks
If a mass of 0.8 kg is moving in simple harmonic motion starting from equilibrium position. The dimensions of the body of mass 1.0 m and if the period is 11/7 sec then 0.6 m. Find velocity of the particle at displacement and also write the equation of motion.
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Q 243 Marks Question3 Marks
A particle is doing simple harmonic motion. If the velocity of the particle at distances $x_1$ and $x_2$ from the mean position are $v_1$ and $v_2$ respectively, then prove that its time period will be
$ T =2 \pi \sqrt{\frac{x_2^2-x_1^2}{ v _1^2- v _2^2}}. $
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Q 265 Marks Questions5 Marks
You are riding in an automatic vehicle of mass 3000 kg . Assume that you are testing the oscillatory characteristics of the suspension system of this vechicle when the entire vehicle is placed on it, the suspended is inclined by 15 cm . Also, the amplitude of oscillation decreases by $50 \%$ in the period of one complete oscillation. Estimate the value of the following
(a) spring constant, and
(b) for the shock absorber system of a spring and $a$ wheel damping constant $b$.
Assume that each wheel carries a mass of 750 kg is.
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Q 275 Marks Questions5 Marks
A body performs simple harmonic motion according to the following equation :
$
x=6 \sin \left(3 \pi t+\frac{\pi}{3}\right)
$
Find out : (i) amplitude (ii) period (iii) initial art (iv) displacement, velocity and acceleration at time $t = 2$.
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Q 285 Marks Questions5 Marks
(i) What is coupled oscillation? Show various examples of these in the picture.
(ii) Explain the motion of two coupled simple harmonic oscillators.
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Q 305 Marks Questions5 Marks
What do you understand by resonance? Explain the sharpness of resonance of a driven oscillator. Mention some phenomena related to resonance in daily life.
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Q 33True False[1 Marks ]1 Mark
While performing simple harmonic motion, the ratio of kinetic energy at the mean position of the pendulum and potential energy at the maximum displacement is equal to 1.
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Q 36Match the following.5 Marks
AB
1. The value of angular frequency ( $\omega)$ is equal(A) Square of amplitude and square of frequency
2. What will be kinetic energy if maximum displacement $y= \pm A$ is taken ?(B) $\frac{1}{2} T$
3. $\int_0^{ T } \cos ^2 \omega t d t$ The value of it will be :(C) Zero
4. In simple harmonic motion the total energy of the particle is proportional to:(D) $K =\frac{ K _1 K_2}{K_1+ K _2}$
5. Series sequence is spring combination(E) $\sqrt{\frac{k}{m}}$
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Q 37Match the following.5 Marks
AB
1. An example of non periodic motion is :(A). Different equation of linear simple harmonic motion
2. An example of harmonic motion is :(B)  Movement of electrons in the orbital of atom
3. There is relation between frequency and period.(C) $\frac{2 \pi}{\omega}$
4. $\frac{d^2 y}{d t^2}+\omega^2 y=0$(D) nT = 1
5. Time period T =(E) Throwing the ball
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