A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic?

(1) 1 cm

(2) 2 cm

(3) 3 cm

(4) 22 cm

Subtopic:  Energy of SHM |
 79%
From NCERT
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A body of mass 500 g is attached to a horizontal spring of spring constant 8 π2Nm-1. If the body is pulled to a distance of 10 cm from its mean position, then its frequency of oscillation is :

(1) 2 Hz

(2) 4 Hz

(3) 8 Hz

(4) 0.5 Hz

Subtopic:  Simple Harmonic Motion |
 70%
From NCERT
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Two springs of force constants k and 2k are connected to a mass m as shown below. The frequency of oscillation of the mass is:

(1) 12πk/m

(2) 12π2k/m

(3) 12π3km

(4) 12πmk

Subtopic:  Combination of Springs |
 86%
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A weightless spring that has a force constant k oscillates with frequency n when a mass m is suspended from it. The spring is cut into equal halves and a mass 2m is suspended from one part of the spring. The frequency of oscillation will now become:

1. n

2. 2n

3. n2

4. n(2)1/2

Subtopic:  Simple Harmonic Motion |
 65%
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An object suspended from a spring exhibits oscillations of period T. Now, the spring is cut in two halves and the same object is suspended with two halves as shown in the figure. The new time period of oscillation will become :

1. T22

2. T2

3. T2

4. 2T

Subtopic:  Combination of Springs |
 58%
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A mass 1 kg suspended from a spring whose force constant is 400 Nm-1, executes simple harmonic oscillation. When the total energy of the oscillator is 2 J, the maximum acceleration experienced by the mass will be:

1. 2 ms-2

2. 4 ms-2

3. 40 ms-2

4. 400 ms-2

Subtopic:  Energy of SHM |
 76%
From NCERT
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What will be the force constant of the spring system shown in the figure?

1. k12+k2

2. 12k1+1k2-1

3. 12k1+1k2

4. 2k1+1k2-1

 

Subtopic:  Combination of Springs |
 72%
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One end of a spring of force constant \(\mathrm{k}\) is fixed to a vertical wall and the other to a block of mass \(\mathrm{m}\) resting on a smooth horizontal surface. There is another wall at a distance x0 from the block. The spring is then compressed by 2x0 and then released. The time taken to strike the wall will be?

          

1. \({1 \over 6} \pi \sqrt{ {k \over m}}\) 2. \( \sqrt{ {k \over m}}\)
3. \({2 \pi \over 3} \sqrt{ {m \over k}}\) 4. \({ \pi \over 4} \sqrt{ {k \over m}}\)
Subtopic:  Spring mass system |
 72%
From NCERT
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A piece of wood had dimensions a, b and c. Its relative density is d. It is floating in water such that the side c is vertical. It is now pushed down gently and released. The time period is:

1. T=2πabcg

2. T=2πbadg

3. T=2πgdc

4. T=2πdcg

Subtopic:  Simple Harmonic Motion |
 57%
From NCERT
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Which of the following figure represent(s) damped simple harmonic motions?

1. 

2. 

3. 

4. 

Subtopic:  Damped Oscillations (OLD NCERT) |
 79%
From NCERT
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