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Physics M.C.Q (1 Marks)

PART - 2 CH - 13 Oscillations · Rajasthan Board (RBSE) STD 11 Science (Rajasthan - English Medium). 31 questions.

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M.C.Q (1 Marks)

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31 questions · auto-graded multiple-choice test.

MCQ 11 Mark
If a tunnel is made along the diameter of the 90 and in that if you leave a stone :
  • A
    The stone will stop at the centre of the earth
  • B
    The stone will stop after reaching the other end of the earth
  • ✓
    The stone will make simple harmonic motion at the centre of the earth
  • D
    The stone will reach the other end of the earth and go into space
Answer
Correct option: C.
The stone will make simple harmonic motion at the centre of the earth
(C)
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MCQ 21 Mark
Following are the equation of motion of a body. Which of these relations will be correct for simple harmonic motion ?
  • A
    Resultant force = kx
  • B
    Velocity $=k x^2$
  • C
    Velocity $=k\left(A^2-x^2\right)$
  • ✓
    Potential energy $=\frac{1}{2} KA ^2 \sin ^2 \omega t$
Answer
Correct option: D.
Potential energy $=\frac{1}{2} KA ^2 \sin ^2 \omega t$
(D)
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MCQ 31 Mark
Simple harmonic motion is such a harmonic motion in which the restoring force F is directly proportional to :
  • A
    Amplitude
  • ✓
    displacement
  • C
    Velocity
  • D
    Square of displacement
Answer
Correct option: B.
displacement
(B)
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MCQ 41 Mark
The lengths of the second pendulum at two places are/and/respectively the result of gravitational acceleration at those places $(g_1: g_2)$ will be :
  • A
    $\frac{l_2}{l_1}$
  • ✓
    $\frac{l_1}{l_1}$
  • C
    $\frac{l_2^2}{l_2^1}$
  • D
    $\frac{l_1^2}{l_2^2}$
Answer
Correct option: B.
$\frac{l_1}{l_1}$
(B)
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MCQ 51 Mark
What is the restoring force proportional to in simple harmonic motion?
  • A
    Velocity
  • ✓
    Displacement from mean position
  • C
    Mass
  • D
    Angular acceleration
Answer
Correct option: B.
Displacement from mean position
(B)
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MCQ 61 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
Correct option: C.
constantly proportional to the square of the amplitude
(C)
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MCQ 71 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
Correct option: C.
$\sqrt{\frac{x_2{ }^2-x_1^2}{v_1^2-v_2^2}}$
(C)
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MCQ 81 Mark
While performing simple harmonic motion, the ratio of kinetic energy at the mean position of the pendulum and potential energy at maximum displacement is :
  • A
    more than 1
  • B
    less than 1
  • ✓
    equal to 1
  • D
    its length is equal to the ratio of gravitational acceleration
Answer
Correct option: C.
equal to 1
(C)
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MCQ 91 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
Correct option: C.
first it will increase and then it will decrease
(C)
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MCQ 101 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
Correct option: A.
$\sqrt{\alpha}$
(A)
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MCQ 111 Mark
The average kinetic energy of a cup doing simple harmonig motion will be :
  • ✓
    $\frac{1}{4} kA ^2$
  • B
    $\frac{1}{2} kA ^2$
  • C
    $kA ^2$
  • D
    none of these
Answer
Correct option: A.
$\frac{1}{4} kA ^2$
(A)
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MCQ 121 Mark
In simple harmonic motion, the ratio of maximum acceleration of the cup and maximum is :
  • ✓
    $\frac{2 \pi}{T}$
  • B
    $\frac{T}{2 \pi}$
  • C
    $a$
  • D
    $a \omega$
Answer
Correct option: A.
$\frac{2 \pi}{T}$
(A)
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MCQ 131 Mark
In simple harmonic motion :
  • A
    The value of art is fixed
  • B
    The value of kinetic energy is constant
  • C
    The value of potential energy is constant
  • ✓
    The value of dimension is fixed
Answer
Correct option: D.
The value of dimension is fixed
(D)
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MCQ 141 Mark
The potential energy of a particle performing simple harmonic motion at a distance x from its equilibrium position is :
  • ✓
    $\frac{1}{2} m \omega^2 x^2$
  • B
    $\frac{1}{2} m \omega^2 A^2$
  • C
    $\frac{1}{2} m \omega^2\left(A^2-x^2\right)$
  • D
    zero
Answer
Correct option: A.
$\frac{1}{2} m \omega^2 x^2$
(A)
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MCQ 151 Mark
A particle performs simple harmonic motion with amplitude A along a straight line. The potential energy of the particle will be maximum when its displacement is :
  • ✓
    $\pm A$
  • B
    Zero
  • C
    $\pm \frac{A}{2}$
  • D
    $\pm \frac{ A }{\sqrt{2}}$
Answer
Correct option: A.
$\pm A$
(A)
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MCQ 161 Mark
By doubling the amplitude of a simple pendulum, the maximum value of its swing will be how many times ?
  • A
    Half
  • B
    One-fourth
  • ✓
    Double
  • D
    Four times
Answer
Correct option: C.
Double
(C)
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MCQ 171 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
Correct option: C.
It will increase a little
(C)
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MCQ 181 Mark
In simple harmonic motion, the instantaneous displacement is due to the instantaneous velocity of the particle
  • ✓
    $\frac{\pi}{2}$ back from arc angle
  • B
    $\frac{\pi}{2}$ ahead of phase angle
  • C
    $\pi$ back from arc angle
  • D
    $\pi$ ahead of phase angle
Answer
Correct option: A.
$\frac{\pi}{2}$ back from arc angle
(A)
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MCQ 191 Mark
When the body is suspended from the center of gravity in a pendulum the time period of the mass pendulum will be :
  • A
    Zero
  • ✓
    Infinite
  • C
    Slightly more then zero
  • D
    9.8 seconds
Answer
Correct option: B.
Infinite
(B)
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MCQ 201 Mark
The amplitude of simple harmonic motion starting from equilibrium position is 1.0 cm and period second instantaneous displacement (cm) will be
  • A
    $y=0.1 \sin \frac{2 \pi}{1.0} t$
  • ✓
    $y=1.0 \sin \frac{2 \pi}{0.1} t$
  • C
    $y=1.0 \sin \frac{2 \pi}{1.0} t$
  • D
    $y=0.1 \sin 2 \pi \times 0.1 t$
Answer
Correct option: B.
$y=1.0 \sin \frac{2 \pi}{0.1} t$
(B)
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MCQ 211 Mark
When a simple pendulum oscillates then :
  • A
    Its potential energy is maximum in the mean position
  • B
    Its kinetic energy is maximum in the case of maximum displacement
  • C
    In the case of maximum displacement, its kinetic and potential energy is minimum
  • ✓
    Its kinetic energy is maximum in the mean state
Answer
Correct option: D.
Its kinetic energy is maximum in the mean state
(D)
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MCQ 221 Mark
The mean state of simple harmonic motion will be :
  • ✓
    Kinetic energy is maximum and potential energy is minimum
  • B
    Kinetic energy is minimum and potential energy is maximum
  • C
    Both kinetic energy and potential energy are maximum
  • D
    Both kinetic energy and potential energy are minimum
Answer
Correct option: A.
Kinetic energy is maximum and potential energy is minimum
(A)
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MCQ 231 Mark
The time period of the pendulum hanging from the roof of a stationary vehicle is T. When the car accelerates with uniform acceleration then the time period :
  • A
    will increase
  • ✓
    will decrease
  • C
    will be unaffected
  • D
    will become infinite
Answer
Correct option: B.
will decrease
(B)
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MCQ 241 Mark
A girl sitting on a swing and swinging. If a girl stands on the swing what will be the effect on the period of oscillation of the swing?
  • A
    Oscillation period will be longer
  • ✓
    Oscillation period will be less
  • C
    The period of oscillation will not change
  • D
    The period of oscillation will depend on the weight of the girl
Answer
Correct option: B.
Oscillation period will be less
(B)
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MCQ 251 Mark
The angular frequencies of two simple harmonic motions are 100 and 1000 radians per second. If their displacement (amplitude) is equal then the ratio of their maximum acceleration will be :
  • A
    $1:10$
  • ✓
    $1: 10^2$
  • C
    $1: 10^3$
  • D
    $1: 10^4$
Answer
Correct option: B.
$1: 10^2$
(B)
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MCQ 261 Mark
When a particle floating in a liquid is slightly displaced, it oscillates with amplitude A and period T. Its velocity in the mean state of motion will be :
  • A
    $\frac{4 A}{ T }$
  • B
    $\frac{2 A}{ T }$
  • ✓
    $\frac{2 \pi A}{ T }$
  • D
    $2 \pi \sqrt{\frac{A}{ T }}$
Answer
Correct option: C.
$\frac{2 \pi A}{ T }$
(C)
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MCQ 271 Mark
If the liquid in a U-tube of cross-section A rises to a height $h$. Then the period of oscillatory motion of the fluid is T. Liquid in a U-tube of cross section $\frac{A}{2}$ If you fill up to the height and make it oscillate then the time period will be :
  • ✓
    T
  • B
    T/2
  • C
    2T
  • D
    1/4
Answer
Correct option: A.
T
(A)
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MCQ 281 Mark
The phase of a particle performing simple harmonic $\frac{\pi}{2}$ while its:
  • A
    the value of energy should be maximum
  • ✓
    the displacement should be maximum
  • C
    the velocity should be maximum
  • D
    the value of acceleration should be maximum
Answer
Correct option: B.
the displacement should be maximum
(B)
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MCQ 291 Mark
Hanging in a spring m the period of oscillation of the mass is T. Oscillations are made by cutting the spring in half and hanging double the mass on it. Now the period of oscillation will be :
  • ✓
    T
  • B
    4T
  • C
    $\frac{T}{2}$
  • D
    8T
Answer
Correct option: A.
T
(A)
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MCQ 301 Mark
A body of mass m is attached to a spring and oscillates. If the force constant of the spring is K, then the period of oscillation of the body will be:
  • A
    $2 \pi \sqrt{\frac{K}{m}}$
  • ✓
    $2 \pi \sqrt{\frac{m}{K}}$
  • C
    $\frac{1}{2 \pi} \sqrt{\frac{m}{K}}$
  • D
    $\frac{1}{2 \pi} \sqrt{\frac{K}{m}}$
Answer
Correct option: B.
$2 \pi \sqrt{\frac{m}{K}}$
(B)
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MCQ 311 Mark
The instantaneous displacement of an oscillating spring is $y=5 \sin \left(0.2 \pi t+\frac{\pi}{2}\right) m$ its period of oscillations is :
  • A
    1.57 second
  • B
    5 second
  • C
    0.2 second
  • ✓
    10 second
Answer
Correct option: D.
10 second
(D)
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