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Oscillations Physics - Oscillations

Maharashtra Board - STD 12 Science - Physics (MSBSHSE - English Medium). 204 questions in this chapter.

Question types

Oscillations question types

204 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

204
Questions
4
Question groups
5
Question types
Sample Questions

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
A particle executing SHM of amplitude $5 cm$ has an acceleration of $27 cm / s ^2$ when it is $3 cm$ from the mean position. Its maximum velocity is
  • ✓
    $15 cm / s$
  • B
    $30 cm / s$
  • C
    $45 cm / s$
  • D
    $60 cm / s$.

Answer: A.

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Q 2M.C.Q (1 Marks)1 Mark
The period of SHM of a particle with maximum velocity $50 cm / s$ and maximum acceleration $10 cm / s ^2$ is
  • A
    $31.42 s$
  • B
    $6.284 s$
  • ✓
    $3.142 s$
  • D
    $0.3142 s$.

Answer: C.

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Q 3M.C.Q (1 Marks)1 Mark
A simple harmonic oscillator has an amplitude $A$ and period $T$. The time required by the oscillator to cover the distance from $x = A$ to $x =\frac{A}{2}$ is
  • A
    $\frac{T}{2}$
  • B
    $\frac{T}{3}$
  • C
    $\frac{T}{4}$
  • ✓
    $\frac{T}{6}$

Answer: D.

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Q 4M.C.Q (1 Marks)1 Mark
A vertical spring-and-block system has a block of mass $10 g$ and oscillates with a period $1 s$. The period of SHM of a block of mass $90 g$, suspended from the same spring, is
  • A
    $\frac{1}{9} s$
  • B
    $\frac{1}{3} s$
  • ✓
    $3 s$
  • D
    $9 s$.

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark
A horizontal spring-and-block system consists of a block of mass $1 kg$, resting on a frictionless surface, and an ideal spring. A force of $10 N$ is required to compress the spring by $10 cm$. The spring constant of the spring is
  • A
    $100 N \cdot m ^{-1}$
  • B
    $10 N \cdot m ^{-1}$
  • ✓
    $N \cdot m ^{-1}$
  • D
    $0.1 N \cdot m ^{-1}$.

Answer: C.

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Q 8Short Answer Type Question2 Marks
A bar magnet of moment $10 A \cdot m ^2$ is suspended such that it can rotate freely in a horizontal plane. The horizontal component of the Earth's magnetic field at the place is $39 \mu T$. Calculate the magnitude of the torque when its angular displacement with respect to the direction of the field is $10^{\circ}$.
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Q 13Answer the following in Brief3 Marks
A disc, of radius $12 cm$ and mass $250 g$, is suspended horizontally by a long wire at its centre. Its period $T _1$ of angular SHM is measured to be $8.43 s$. An irregularly shaped object $X$ is then hung from the same wire and its period $T_2$ is found to be $4.76 s$. What is the rotational inertia of object $X$ about its suspension axis ?
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Q 14Answer the following in Brief3 Marks
A clock regulated by a seconds pendulum keeps correct time. During summer the length of the pendulum increases to $1.01 m$. How much will the clock gain or lose in one day ? $g =9.8$ $\left.m / s ^2\right]$
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Q 19Answer the following in Detail4 Marks
A steel sphere of mass $0.02 kg$ attains a terminal speed $vi =0.5 m / s$ when dropped into a tall cylinder of oil. The same sphere is then attached to the free end of an ideal vertical spring of spring constant $8 N / m$. The sphere is immersed in the same oil and set into vertical oscillation. Find
(i) the damping constant
(ii) the angular frequency of the damped SHM.
(iii) Hence, write the equation for displacement of the damped SHM as a function of time, assuming that the initial amplitude is $10 cm .\left[ g =10 m / s ^2\right]$
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Q 20Answer the following in Detail4 Marks
For a damped spring-and-block oscillator, the mass of the block is $0.2 kg$, the spring constant is $90 N / m$ and the damping constant is $0.06 kg / s$. Calculate
(i) the period of oscillation
(ii) the time taken for its amplitude to become half its initial value.
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