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\(250\) N force is required to raise \(75\) kg mass from a pulley. If the rope is pulled \(12\) m, then the load is lifted to \(3\) m. The efficiency of the pulley system will be:

1. \(25\text{%}\)

2. \(33.3\text{%}\)

3. \(75\text{%}\)

4. \(90\text{%}\)

Subtopic: Concept of Work |

From NCERT

AIPMT - 2001

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When a long spring is stretched by \(2\) cm, its potential energy is \(U\). If the spring is stretched by \(10\) cm, the potential energy stored in it will be:

1. \(U/5\)

2. \(5U\)

3. \(10U\)

4. \(25U\)

Subtopic: Elastic Potential Energy |

87%

From NCERT

AIPMT - 2003

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A stationary particle explodes into two particles of masses m_{1} and m_{2} which move in opposite directions with velocities v_{1} and v_{2}. The ratio of their kinetic energies E_{1}/E2 is:

1. m_{2}/m_{1}

2. m_{1}/m_{2}

3. 1

4. m_{1}v_{2}/m_{2}v_{1}

Subtopic: Collisions |

74%

From NCERT

AIPMT - 2003

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Two springs A and B having spring constant ${K}_{A}$ $and$ ${K}_{B}$ $$ $({K}_{A}$ $=$ $2{K}_{B})$ are stretched by applying a force of equal magnitude. If the energy stored in spring A is E, then the energy stored in B will be:

1. 2E

2. $\frac{E}{4}$

3. $\frac{E}{2}$

4. 4E

Subtopic: Elastic Potential Energy |

69%

From NCERT

AIPMT - 2001

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A child is sitting on a swing. Its minimum and maximum heights from the ground are \(0.75\) m and \(2\) m, respectively. Its maximum speed will be: (Take \(g=10\) m/s^{2})

1. \(10\) m/s

2. \(5\) m/s

3. \(8\) m/s

4. \(15\) m/s

Subtopic: Work Energy Theorem |

75%

From NCERT

AIPMT - 2001

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If the kinetic energy of a body is increased by \(300\)%, then the percentage change in momentum will be:

1. \(100\)%

2. \(150\)%

3. \(265\)%

4. \(73.2\)%

Subtopic: Concept of Work |

75%

From NCERT

AIPMT - 2002

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When a spring is subjected to 4 N force, its length is a metre and if 5 N is applied, its length is b metre. If 9 N is applied, its length will be:

1. 4b – 3a

2. 5b – a

3. 5b – 4a

4. 5b – 2a

Subtopic: Elastic Potential Energy |

70%

From NCERT

AIPMT - 1999

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If two springs, A and B $({K}_{A}$ $=$ $2$ ${K}_{B}),$ are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:

1. 1 : 2

2. 2 : 1

3. 1 : 1

4. 1 : 4

Subtopic: Elastic Potential Energy |

63%

From NCERT

AIPMT - 1999

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A particle projected with velocity 'u' makes an angle θ with respect to horizontal. Now it breaks in two identical parts at highest point of trajectory. If one part retraces its path, then velocity of the other part is:

1. 3u cos θ

2. 2u cos θ

3. u cos θ

4. u

Subtopic: Collisions |

From NCERT

AIPMT - 1999

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A mass of \(0.5\) kg moving with a speed of \(1.5\) m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant \(k=50\) N/m. The maximum compression of the spring would be:

1. \(0.12\) m

2. \(1.5\) m

3. \(0.5\) m

4. \(0.15\) m

Subtopic: Elastic Potential Energy |

81%

From NCERT

AIPMT - 2004

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