A particle is executing SHM about origin along X-axis, between points A(α, 0) and B(-α, 0). Its time period of oscillation is T. The magnitude of its acceleration T12 second after the particle reaches point A will be

1.  23πTα

2.  22π2T2α

3.  23π2T2α

4.  3π2T2α

Subtopic:  Simple Harmonic Motion |
 68%
From NCERT
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A particle executes linear oscillation such that its epoch is zero. The ratio of the magnitude of its displacement in 1st second and 2nd second is (Time period = 12 seconds)

1.  13 + 1

2.  13 - 1

3.  3 - 12

4.  33 - 1

Subtopic:  Simple Harmonic Motion |
 68%
From NCERT
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A block of mass 0.02 kg is connected with spring and is free to oscillate on a horizontal smooth surface as shown. The angular frequency of oscillation is 2 rad s-1. The block is pulled by 4 cm (from equilibrium position) and then pushed towards the spring with a velocity of 8 cm/s. The amplitude of oscillation is (Neglect any damping)

                    

1.  32 cm

2.  42 cm

3.  22 cm

4.  1 cm

Subtopic:  Combination of Springs |
 77%
From NCERT
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A particle moves on a circular path with uniform speed about the origin. The \((x-t)\) graph will be:
(\(x:\) value of \(x-\)coordinate; \(t-\)time)

1. 2.
3. 4.
Subtopic:  Types of Motion |
 67%
From NCERT
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A simple pendulum has time period \(T.\) The bob is given negative charge and surface below it is given a positive charge. The new time period will be:
1. less than \(T\)
2. greater than \(T\)
3. equal to \(T\)
4. infinite

Subtopic:  Angular SHM |
 57%
From NCERT
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A simple pendulum attached to the ceiling of a stationary lift has a time period of 1 s. The distance y covered by the lift moving downward varies with time as y = 3.75 t2, where y is in meters and t is in seconds. If g = 10 m/s2, then the time period of the pendulum will be:

1. 4 s 2. 6 s
3. 2 s 4. 12 s
Subtopic:  Types of Motion | Simple Harmonic Motion | Angular SHM |
 61%
From NCERT
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Which of the following may represent the potential energy of a body in S.H.M.? (Symbols have usual meaning)
1. 2A2
2. 122X2
3. 2A2 + 12
4. both (2) and (3)

Subtopic:  Energy of SHM |
 72%
From NCERT
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A particle moves according x = 6 cm cosπ2tAverage velocity of the particle in the time interval between t = 0 to t = 3 s is

1.  1 cm/s

2.  3.5 cm/s

3.  2 cm/s

4.  6 cm/s

Subtopic:  Types of Motion | Simple Harmonic Motion | Angular SHM |
 58%
From NCERT
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A particle performs SHM with frequency \(f.\) The frequency of its velocity and acceleration are respectively:
1. \(f,~f\)
2. \(\frac{f}{2},~f\)
3. \(2f,~f\)
4. \(f,~2f\)

Subtopic:  Simple Harmonic Motion |
 67%
From NCERT
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Force acting on a body free to move on the \(\mathrm{X}\)-axis is given by, \(F=-kx^n\) where \(k\) is a positive constant. For which value of \(n\) motion of the body is not oscillatory?

1. \(3\) 2. \(7\)
3. \(2\) 4. \(5\)

Subtopic:  Simple Harmonic Motion |
 76%
From NCERT
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