A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector \(\vec a\) is correctly shown in: 

1. 2.
3. 4.

Subtopic:  Angular SHM |
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A second's pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket:

(1) Comes down with uniform acceleration

(2) Moves around the earth in a geostationary orbit

(3) Moves up with a uniform velocity

(4) Moves up with the uniform acceleration

Subtopic:  Simple Harmonic Motion |
 60%
From NCERT
PMT - 1994
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There is a simple pendulum hanging from the ceiling of a lift. When the lift is stand still, the time period of the pendulum is T. If the resultant acceleration becomes g/4, then the new time period of the pendulum is 

(1) 0.8 T

(2) 0.25 T

(3) 2 T

(4) 4 T

Subtopic:  Angular SHM |
 82%
From NCERT
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A block \(P\) of mass \(m\) is placed on a frictionless horizontal surface. Another block \(Q\) of same mass is kept on \(P\) and connected to the wall with the help of a spring of spring constant \(k\) as shown in the figure. \(\mu_s\) is the coefficient of friction between \(P\) and \(Q\). The blocks move together performing SHM of amplitude \(A\). The maximum value of the friction force between \(P\) and \(Q\) will be:

         
1. \(kA\)
2. \(\frac{kA}{2}\)
3. zero
4. \(\mu_s mg\)

Subtopic:  Spring mass system |
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A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T0. When parallel plates are charged, the electric field between the plates is E and time period changes to T. The ratio T/T0 is equal to 

(1) g+qEmg1/2           (2) gg+qEm3/2

(3) gg+qEm1/2           (4) None of these 

Subtopic:  Simple Harmonic Motion |
 64%
From NCERT
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Two simple pendulums have time periods T and 5T4. They start vibrating at the same instant from the mean position in the same phase. The phase difference between them when bigger pendulum completes one oscillation will be:

1. π6

2. π4

3. π3

4. π2

Subtopic:  Simple Harmonic Motion |
 61%
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A simple pendulum has a time period \(T_1\) when on the earth’s surface, and \(T_2\) when taken to a height \(R\) above the earth’s surface, where \(R\) is the radius of the earth. The value of \(\frac{T_2}{T_1}\) is:
1. \(1\)
2. \(\sqrt{2}\)
3. \(4\)
4. \(2\)
Subtopic:  Simple Harmonic Motion |
 51%
From NCERT
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A particle executes linear simple harmonic motion with an amplitude of of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity  is equal to that of its acceleration. Then, its time period in seconds is 

(a) 5π

(b)52π

(c)4π5

(d)2π3

Subtopic:  Simple Harmonic Motion |
 76%
From NCERT
NEET - 2017
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A body mass m is attached to the lower end of a spring whose upper end is fixed. The spring has neglible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is-

(1) 34               

(2)43

(3) 169               

(4) 916

Subtopic:  Combination of Springs |
 80%
From NCERT
NEET - 2016
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When two displacements represented by y1=asin(ωt) and y2=bcos(ωt) are superimposed,the motion is -

(1) not a simple harmonic

(2) simple harmonic with amplitude a/b

(3) simple harmonic with amplitude a2 + b2

(4) simple harmonic with amplitude (a+b)/2

Subtopic:  Simple Harmonic Motion |
 91%
From NCERT
NEET - 2015
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