A particle is attached to a vertical spring and pulled down a distance of 0.01 m below its mean position and released. If its initial acceleration is 0.16 m/s2, then its time period in seconds will be:

1.  π

2.  π2

3.  π4

4.  2π

Subtopic:  Spring mass system |
 88%
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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%
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The frequency of a spring is \(n\) after suspending mass \(M.\) Now, after mass \(4M\) mass is suspended from the spring, the frequency will be:
 

1. \(2n\) 2. \(n/2\)
3. \(n\) 4. none of the above

Subtopic:  Spring mass system |
 80%
From NCERT
AIPMT - 1998
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The time periods for the figures (a) and (b) are T1 and T2 respectively. If all surfaces shown below are smooth, then the ratio T1T2 will be:
   

1.  1: 3

2.  1: 1

3.  2: 1

4.  3: 2

Subtopic:  Spring mass system |
 81%
From NCERT
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The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it, another mass M is also suspended, the period of oscillation will now be:

1. T

2. T/2

3. 2T

4. 2T

Subtopic:  Spring mass system |
 78%
From NCERT
AIPMT - 2010
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A spring having a spring constant of \(1200\) N/m is mounted on a horizontal table as shown in the figure. A mass of \(3\) kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of \(2.0\) cm and released. The frequency of oscillations will be:
    

1. \(3.0~\text{s}^{-1}\) 2. \(2.7~\text{s}^{-1}\)
3. \(1.2~\text{s}^{-1}\) 4. \(3.2~\text{s}^{-1}\)
Subtopic:  Spring mass system |
 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%
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The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be:
1. T/4
2. T
3. T/2
4. 2T

Subtopic:  Spring mass system |
 72%
From NCERT
AIPMT - 2003
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An ideal spring with spring-constant K is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially un-stretched. Then the maximum extension in the spring will be:
1. 4 Mg/K 
2. 2 Mg/K
3. Mg/K 
4. Mg/2K

Subtopic:  Spring mass system |
 56%
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A spring elongates by a length 'L' when a mass 'M' is suspended to it. Now a tiny mass 'm' is attached to the mass 'M' and then released. The new time period of oscillation will be:

1.  \(2 \pi \sqrt{\frac{\left(\right. M   +   m \left.\right) l}{Mg}}\)

2. \(2 \pi \sqrt{\frac{ml}{Mg}}\)

3. \(2 \pi \sqrt{L   /   g}\)

4. \(2 \pi \sqrt{\frac{Ml}{\left(\right. m   +   M \left.\right) g}}\)

Subtopic:  Spring mass system |
 59%
From NCERT
AIPMT - 1999
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