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A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s^{2} at a distance of 5 m from the mean position. The time period of oscillation is:

1. 2$\mathrm{\pi}$ s

2. $\mathrm{\pi}$ s

3. 2 s

4. 1 s

Subtopic: Angular SHM |

84%

From NCERT

NEET - 2018

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A particle executes linear simple harmonic motion with an amplitude of of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then, its time period in seconds is

(a) $\sqrt{\frac{5}{\pi}}$

(b)$\sqrt{\frac{5}{2\mathrm{\pi}}}$

(c)$\frac{4\mathrm{\pi}}{\sqrt{5}}$

(d)$\frac{2\mathrm{\pi}}{\sqrt{3}}$

Subtopic: Simple Harmonic Motion |

76%

From NCERT

NEET - 2017

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A spring of force constant \(k\) is cut into lengths of ratio \(1:2:3\). They are connected in series and the new force constant is \(k'\). Then they are connected in parallel and force constant is \(k''\). Then \(k':k''\) is:

1. \(1:9\)

2. \(1:11\)

3. \(1:14\)

4. \(1:6\)

Subtopic: Combination of Springs |

69%

From NCERT

NEET - 2017

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A particle executes linear simple harmonic motion with amplitude of \(3~\text{cm}\). When the particle is at \(2~\text{cm}\) from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:

1. \(\frac{\sqrt5}{2\pi}\)

2. \(\frac{4\pi}{\sqrt5}\)

3. \(\frac{4\pi}{\sqrt3}\)

4. \(\frac{\sqrt5}{\pi}\)

Subtopic: Simple Harmonic Motion |

74%

From NCERT

NEET - 2017

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A body of mass \(m\) is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass \(m\) is slightly pulled down and released, it oscillates with a time period of \(3~\text{s}\). When the mass \(m\) is increased by \(1~\text{kg}\), the time period of oscillations becomes \(5~\text{s}\). The value of \(m\) in \(\text{kg}\) is:

1. \(\frac{3}{4}\)

2. \(\frac{4}{3}\)

3. \(\frac{16}{9}\)

4. \(\frac{9}{16}\)

Subtopic: Spring mass system |

81%

From NCERT

NEET - 2016

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