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NCERT Solutions for class 11 Physics | Chapter 14 - Oscillations

(1) The period of thin magnet is 4 sec. if it is divided into two equal halves then the time period of each part will be
[A] 4 sec
[B] 1 sec
[C] 2 sec
[D] 8 sec
Answer: 2 sec
(2) The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hall near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time -period of the oscillation would
[A] first decrease and then increase to the original value
[B] first increase and then decrease to the original value
[C] increase towards a saturation value
[D] remain unchanged
Answer: first increase and then decrease to the original value

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(3) In damped oscilation, the angular frequency of the oscillator
[A] keeps on decreasing
[B] keeps on increasing
[C] emains the same
[D] fluctuates
Answer: emains the same
(4) When a particle performing uniform circular motion of radius 10 cm undergoes the SHM, what will be its amplitude?
[A] 10 cm
[B] 5 cm
[C] 2.5 cm
[D] 20 cm
Answer: 10 cm
(5) In damped oscilation the directions of the restoring force and the resistive force
[A] are the same
[B] are opposite
[C] may be same or opposite
[D] have no relation with each other
Answer: may be same or opposite
(6) One of the two clocks on the earth is controlled by a pendulum and other by a spring. If both the clocks are taken to the moon, then which clock will have the same time – period of the earth?
[A] spring clock
[B] pendulum clock
[C] both
[D] none
Answer: spring clock
(7) The displacement y of a particle executing periodic motion is given by y = 4 cos² (t/2) sin (1000t). This expression may be considered to be a result of superposition of the following number of harmonic motions.
[A] two
[B] three
[C] four
[D] five
Answer: three
(8) In the case of forced oscillations, which of the following statements is not true?
[A] frequency equals that of external periodic force
[B] amplitude depends upon the damping coefficient
[C] amplitude tends to infinity at resonance
[D] higher the damping coefficient, lower is the amplitude at resonance
Answer: amplitude tends to infinity at resonance
(9) Spring is pulled down by 2 cm. What is amplitude of motion?
[A] 0 cm
[B] 6 cm
[C] 2 cm
[D] cm
Answer: 2 cm
(10) Time period of simple pendulum of length l and a place where acceleration due to gravity is g is T. what is the period of a simple pendulum of the same length at a place where the acceleration due to gravity is 1.029 is,
[A] T
[B] 1.02 T
[C] 0.99 T
[D] 1.01 T
Answer: 0.99 T
(11) The acceleration of particle executing S.H.M. when it is at mean position is
[A] Infinite
[B] Varies
[C] Maximum
[D] Zero
Answer: Zero
(12) Length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time – period of the pendulum of increased length is
[A] 10%
[B] 1%
[C] 21%
[D] 42%
Answer: 10%
(13) The maximum velocity for particle in SHM is 0.16 m/s and maximum acceleration is 0.64 m/s2. The amplitude is
[A] 4 × 10-2 m
[B] 4 × 10-1 m
[C] 4 × 10 m
[D] 4 × 100 m
Answer: 4 × 10-2 m
(14) If a simple harmonic oscillator has got a displacement of 0.02 m and acceleration equal to 2.0 ms-2 at any time, the angular frequency of the oscillator is equal to
[A] 10 rad s-1
[B] 1 rad s-1
[C] 100 rad s-1
[D] 1 rad s-1
Answer: 10 rad s-1
(15) If a hole is bored along the diameter of the earth and a stone is dropped into the hole
[A] The stone reaches the centre of the earth and stops there
[B] The stone reaches the other side of the earth and stops there
[C] The stone executes simple harmonic motion about the centre of the earth
[D] The stone reaches the other side of the earth and escapes into space
Answer: The stone executes simple harmonic motion about the centre of the earth
(16) The period of a simple harmonic oscillator is 2 sec. The ratio of its maximum velocity and maximum acceleration is
[A] ∏
[B] 1/∏
[C] 2∏
[D] 4
Answer: 1/∏
(17) If the length of seconds pendulum is increased by 2%, how may seconds it will lose per day?
[A] 3427 sec
[B] 3727 sec
[C] 3927 sec
[D] 864 sec
Answer: 864 sec
(18) In SHM, graph of which of the following is a straight line?
[A] T.E. against displacement
[B] P.E. against displacement
[C] Acceleration against time
[D] Velocity against displacement
Answer: T.E. against displacement
(19) The motion of a particle executing simple harmonic motion is given by X = 0.01 sin 100p (t + 0.05), where X is in metres ant t in second. The time period in second is
[A] 0.001
[B] 0.02
[C] 0.1
[D] 0.2
Answer: 0.02
(20) For a magnet of time period T magnetic moment is M, if the magnetic moment becomes one fourth of the initial value, then the time period of oscillation becomes.
[A] Half of initial value
[B] One fourth of initial value
[C] Double of initial value
[D] Four time initial value
Answer: Double of initial value

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