A pendulum oscillates about its mean position C. The position where the speed of the bob becomes maximum is

                 

1.  A

2.  B

3.  C

4.  D

Subtopic:  Simple Harmonic Motion |
 87%
From NCERT
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A particle executes linear SHM between \(x=A.\) The time taken to go from \(0\) to \(A/2\) is T1 and to go from \(A/2\) to \(A\) is T2, then:

1. T1 < T 2. T1 > T2
3. T1 = T2 4. T1 = 2T2
Subtopic:  Linear SHM |
 72%
From NCERT
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The position x (in centimeter) of a simple harmonic oscillator varies with time t (in second) as x = 2cos0.5πt + π3The magnitude of the maximum acceleration of the particle in cm/s2 is:

1.  π/2

2.  π/4

3.  π2/2

4.  π2/4

Subtopic:  Simple Harmonic Motion |
 86%
From NCERT
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A horizontal platform is executing simple harmonic motion in the vertical direction with frequency f. A block of mass m is placed on the platform. What is the maximum amplitude of the SHM, so that the block is not detached from it?

1.  mg2π2f2

2.  mg4π2f2

2.  g2π2f2

4.  g4π2f2

Subtopic:  Simple Harmonic Motion |
 66%
From NCERT
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A body at the end of a spring executes S.H.M. with a period T1 while the corresponding period for another spring is T2. If the period of oscillation with two springs in series is T, then:

1.  T = T1 + T2

2.  T2 = T12 + T22

3.  1T = 1T1 + 1T2

4.  1T2 = 1T12 + 1T22

Subtopic:  Combination of Springs |
 62%
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A body is executing linear S.H.M. At a position x, its potential energy is E1, and at a position y, its potential energy is E2. The potential energy at the position (x + y) is

1.  E1 + E2

2.  E12 + E22

3.  E1 + E2 + 2E1E2

4.  E1E2

Subtopic:  Energy of SHM |
 58%
From NCERT
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The equation of a particle executing simple harmonic motion is y = 0.4 sin2πt + π3 (where t is in seconds and y is in meters). The initial phase of the particle is:

1.  2πt + π3

2.  π3

3.  7π3

4.  8π3

Subtopic:  Simple Harmonic Motion |
 82%
From NCERT
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An ideal spring-mass system has a time period of vibration T. If the spring is cut into 4 identical parts and same mass oscillates with one of these parts, then the new time period of vibration will be

1.  T2

2.  T

3.  T4

4.  2T

Subtopic:  Combination of Springs |
 70%
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The equation of a particle executing simple harmonic motion is y=22sin314t. Displacement y from the mean position where acceleration becomes zero is: (y is in cm and t is in second) 

1.  2 cm

2.  0

3.  12 cm

4.  22 cm

Subtopic:  Simple Harmonic Motion |
 74%
From NCERT
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The displacement \((\mathrm{x})\) of an SHM varies with time \((\mathrm{t})\) as shown in the figure. The frequency of variation of potential energy is:

                 

1. \(5\) Hz 2. \(10\) Hz
3. \(40\) Hz 4. \(20\) Hz
Subtopic:  Energy of SHM |
 59%
From NCERT
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