A spring pendulum is on the rotating table. The initial angular velocity of the table is \(\omega_{0}\) and the time period of the pendulum is \(T_{0}.\) Now the angular velocity of the table becomes \(2\omega_{0},\) then the new time period will be:
1. 
\(2T_{0}\)
2. \(T_0\sqrt{2}\)
3. remains the same
4. \(\frac{T_0}{\sqrt{2}}\)

Subtopic:  Angular SHM |
 70%
From NCERT
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If the vertical spring-mass system is dipped in a non-viscous liquid, then:

1. only mean position is changed.
2. only the time period is changed.
3. time period and mean position both are changed.
4. time period and mean position both remain the same.
Subtopic:  Combination of Springs |
From NCERT
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The displacement \( x\) of a particle varies with time \(t\) as \(x = A sin\left (\frac{2\pi t}{T} +\frac{\pi}{3} \right)\)The time taken by the particle to reach from \(x = \frac{A}{2} \) to \(x = -\frac{A}{2} \) will be:

1. \(\frac{T}{2}\) 2. \(\frac{T}{3}\)
3. \(\frac{T}{12}\) 4. \(\frac{T}{6}\)

Subtopic:  Phasor Diagram |
 51%
From NCERT
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Force on a particle F varies with time t as shown in the given graph. The displacement x vs time t graph corresponding to the force-time graph will be:
          

1. 2.
3. 4.
Subtopic:  Linear SHM |
 66%
From NCERT
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The time period of a simple pendulum in a stationary trolley is \(T_1.\) If the trolley is moving with a constant speed, then time period is \(T_2,\) then: 
1. \(T_1>T _2\)
2. \(T_1<T _2\)
3. \(T_1=T _2\)
4. \(T_2= \infty \)

Subtopic:  Simple Harmonic Motion |
 79%
From NCERT
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A particle executes SHM with a frequency of \(20\) Hz. The frequency with which its potential energy oscillates is:
1. \(5\) Hz
2. \(20\) Hz
3. \(10\) Hz
4. \(40\) Hz

Subtopic:  Energy of SHM |
 73%
From NCERT
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 A particle is moving along the x-axis. The speed of particle v varies with position x as v2144 + x29 = 1. The time period of S.H.M is

1.  π unit

2.  3π2 unit

3.  π2 unit

4.  π4 unit

Subtopic:  Simple Harmonic Motion |
 69%
From NCERT
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A block of mass m is attached to a massless spring having a spring constant k. The other end of the spring is fixed from the wall of a trolley, as shown in the figure. Spring is initially unstretched and the trolley starts moving toward the direction shown. Its velocity-time graph is also shown.

              

The energy of oscillation, as seen from the trolley is:

1.  32m26k

2.  9m28k

3.  9m232k

4.  8m29k

Subtopic:  Combination of Springs |
 66%
From NCERT
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A body of mass \(20\) g is executing SHM with amplitude \(5\) cm. When it passes through the equilibrium position its speed is \(20\) cm/s. What would be the distance from equilibrium when its speed becomes \(10\) cm/s?
1. \(\frac{5\sqrt{3}}{4}\) cm

2. \(\frac{5\sqrt{3}}{2}\) cm

3. \(\frac{25\sqrt{7}}{2}\) cm

4. \(5\sqrt{3}\) cm

Subtopic:  Simple Harmonic Motion |
 76%
From NCERT
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For a simple harmonic oscillator, a velocity-time diagram is shown. The angular frequency of oscillation is:

                

1.  242 rad/s

2.  25π4 rad/s

3.  25 rad/s

4.  25π rad/s

Subtopic:  Simple Harmonic Motion |
 64%
From NCERT
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