A particle is moving along X-axis (x in meter) and force acting on particle varies as F = -5x + 5N, then

1.  The motion of particle will be circular

2.  The motion of particle will be periodic having a mean position at x = 1m

3.  The equilibrium position of the particle will be at x = 4m

4.  Both (1) & (2)

Subtopic:  Simple Harmonic Motion |
 54%
From NCERT
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In the following questions, a statement of assertion (A) is followed by a statement of the reason (R).

1.  If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

2.  If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

3.  If Assertion is a true statement but Reason is false, then mark (3).

4.  if both Assertion and Reason are false statements, then mark (4).

 

A: The periodic time of a hard spring is more as compared to the soft spring.

R: The spring constant of hard spring is less.

Subtopic:  Types of Motion | Simple Harmonic Motion | Energy of SHM | Angular SHM | Combination of Springs | Damped Oscillations (OLD NCERT) | Forced Oscillations (OLD NCERT) |
 50%
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The time period of the spring-mass system depends upon:

1. the gravity of the earth 2. the mass of the block
3. spring constant 4. both (2) & (3)
Subtopic:  Spring mass system |
 88%
From NCERT
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Two pendulums A and B of length 144 cm and 100 cm are initially in the same phase at their equilibrium positions. After how much complete oscillations of B, they come in the same phase?

1.  4

2.  6

3.  8

4.  10

Subtopic:  Angular SHM |
 73%
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A particle is executing SHM along a straight-line path. Then which of the following statement is correct?

1.  Acceleration always decreases the speed of the particle

2.  Acceleration is constant with time

3.  Acceleration is constant with position

4.  Acceleration is maximum when the particle is at rest

Subtopic:  Simple Harmonic Motion |
 54%
From NCERT
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A body executes oscillations under the effect of a small damping force. If the amplitude of the body reduces by 50% in 6 minutes, then amplitude after the next 12 minutes will be [initial amplitude is A0] -

1.  A04

2.  A08

3.  A016

4.  A06

Subtopic:  Damped Oscillations (OLD NCERT) |
 51%
From NCERT
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A uniform spring has a force constant K. It is cut into two pieces of lengths l1 and l2, such that l1 = nl2. Time period of oscillation of a mass m with spring of length l1 is

1.  2πmn + 1nk

2.  2πkn + 1m

3.  2πmkn + 1

4.  2πmnkn + 1

Subtopic:  Combination of Springs |
 56%
From NCERT
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A particle is executing S.H.M. Graph of its displacement with the position is shown in the figure. Maximum acceleration of the particle is

                  

1.  π22m/s2

2.  π24m/s2

3.  4π2π2m/s2

4.  π28m/s2

Subtopic:  Simple Harmonic Motion | Combination of Springs |
 69%
From NCERT
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The  potential energy of a harmonic oscillator at equilibrium is 15 J and average kinetic energy is 5 J. Total energy at any instant is

1.  25 J

2.  5 J

3.  15 J

4.  40 J

Subtopic:  Energy of SHM |
 60%
From NCERT
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In a forced oscillation, when the system oscillates under the action of the driving force F = F0 sin ωt in addition to its internal restoring force, the particle oscillates with a frequency equal to

1.  The natural frequency of the body

2.  Frequency of driving force

3.  The difference in frequency of driving force and natural frequency

4.  Mean of the driving frequency and natural frequency

Subtopic:  Forced Oscillations (OLD NCERT) |
 58%
From NCERT
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