In an oscillating spring mass system, a spring is connected to a box filled with the sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency \(\omega~(t)\) and average amplitude \(A~(t)\) of the system changes with time \(t.\) Which of the following options systemically depicts these changes correctly?
1. 2.
3. 4.
Subtopic:  Spring mass system |
From NCERT
NEET - 2025
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Two identical point masses \(P\) and \(Q,\) suspended from two separate massless springs of spring constant \(k_1\) and \(k_2,\) respectively, oscillate vertically. If their maximum speeds are the same, the ratio \(\left(\dfrac{A_Q}{A_P} \right)\) of the amplitude \(A_Q\) of mass \(Q \) to the amplitude \(A_P\) of mass \(P\) is:
1. \(\sqrt{\dfrac{k_2}{k_1}}\) 2. \(\sqrt{\dfrac{k_1}{k_2}}\)
3. \(\dfrac{k_2}{k_1}\) 4. \(\dfrac{k_1}{k_2}\)
Subtopic:  Spring mass system |
From NCERT
NEET - 2025
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The restoring force of a spring, with a block attached to the free end of the spring, is represented by:
 
1. 2.
3. 4.
Subtopic:  Spring mass system |
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From NCERT
NEET - 2022
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A spring is stretched by \(5~\text{cm}\) by a force \(10~\text{N}\). The time period of the oscillations when a mass of \(2~\text{kg}\) is suspended by it is:
1. \(3.14~\text{s}\)
2. \(0.628~\text{s}\)
3. \(0.0628~\text{s}\)
4. \(6.28~\text{s}\)

Subtopic:  Spring mass system |
 70%
From NCERT
NEET - 2021
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