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Q. No.A particle moves so that its acceleration \(a\) is given by; \(a=-bx, \) where \(x \) is the displacement from the equilibrium position and \(b\) is a constant. The period of oscillation is:
| 1. | \({2}{\pi}\sqrt{b} \) | 2. | \(\dfrac{2\pi }{\sqrt{b}}\) |
| 3. | \(\dfrac{2\pi }{b}\) | 4. | \(2\sqrt{\dfrac{\pi }{b}} \) |
Subtopic: Â Linear SHM |
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Level 1: 80%+
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The acceleration-displacement \((a\text-x) \) graph of a particle executing simple harmonic motion (SHM) is provided in the figure. If \(\text{tan}~ \theta=8, \) then the frequency of oscillation is:
| 1. | \(\dfrac{2}{\pi} ~\text{Hz}\) | 2. | \(\dfrac{\sqrt{2}}{\pi} ~\text{Hz}\) |
| 3. | \(\dfrac{2\sqrt{2}}{\pi} ~\text{Hz}\) | 4. | \(\dfrac{1}{\pi}~\text{Hz}\) |
Subtopic: Â Linear SHM |
 80%
Level 1: 80%+
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In the context of linear simple harmonic motion (SHM), consider the following statements:
| (A) | Acceleration is maximum at the mean position. |
| (B) | Velocity is maximum at the extreme position. |
| (C) | Acceleration is maximum at the extreme position. |
| (D) | Velocity is maximum at the mean position. |
| 1. | (B), (C) and (D) only | 2. | (A) and (D) only |
| 3. | (A) and (B) only | 4. | (C) and (D) only |
Subtopic: Â Linear SHM |
 80%
Level 1: 80%+
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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. \(T/\sqrt{2}\)
3. \(2T\)
4. \(\sqrt{2} T\)
Subtopic: Â Linear SHM |
 76%
Level 2: 60%+
NEET - 2010
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