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Body \(\mathrm{A}\) of mass \(4m\) moving with speed \(u\) collides with another body \(\mathrm{B}\) of mass \(2m\) at rest. The collision is head-on and elastic in nature. After the collision, the fraction of energy lost by the colliding body \(\mathrm{A}\) is:

1. \(\dfrac{5}{9}\)

2. \(\dfrac{1}{9}\)

3. \(\dfrac{8}{9}\)

4. \(\dfrac{4}{9}\)

Subtopic: Collisions |

64%

From NCERT

NEET - 2019

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When an object is shot from the bottom of a long, smooth inclined plane kept at an angle of \(60^\circ\) $$with horizontal, it can travel a distance \(x_1\) along the plane. But when the inclination is decreased to \(30^\circ\) $$and the same object is shot with the same velocity, it can travel \(x_2\) distance. Then \(x_1:x_2\) will be:

1. \(1:2\sqrt{3}\)

2. \(1:\sqrt{2}\)

3. \(\sqrt{2}:1\)

4. \(1:\sqrt{3}\)

Subtopic: Conservation of Mechanical Energy |

73%

From NCERT

NEET - 2019

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A force \(F = (20 + 10 y)\) acts on a particle in the \(y\)-direction where \(F\) is in Newton and \(y\) is in meter. Work done by this force to move the particle from \(y =0\) to \(y =1\) m is:

1. \(20~\text{J}\)

2. \(30~\text{J}\)

3. \(5~\text{J}\)

4. \(25~\text{J}\)

1. \(20~\text{J}\)

2. \(30~\text{J}\)

3. \(5~\text{J}\)

4. \(25~\text{J}\)

Subtopic: Work Done by Variable Force |

74%

From NCERT

NEET - 2019

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A mass \(m\) is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:

1. | \(60^{\circ}\) from vertical. | inclined at an angle of

2. | the mass is at the highest point. |

3. | the wire is horizontal. |

4. | the mass is at the lowest point. |

Subtopic: Gravitational Potential Energy |

71%

From NCERT

NEET - 2019

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An object of mass \(500\) g initially at rest is acted upon by a variable force whose \(x\)-component varies with \(x\) in the manner shown. The velocities of the object at the points \(x=8\) m and \(x=12\) m would have the respective values of nearly:

1. | \(18\) m/s and \(22.4\) m/s | 2. | \(23\) m/s and \(22.4\) m/s |

3. | \(23\) m/s and \(20.6\) m/s | 4. | \(18\) m/s and \(20.6\) m/s |

Subtopic: Work Done by Variable Force |

59%

From NCERT

NEET - 2019

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Water falls from a height of 60m at the rate of 15kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine?

(g = 10 m/s^{2})

1. 8.1 kW

2. 10.2 kW

3. 12.3 kW

4. 7.0 kW

Subtopic: Power |

78%

From NCERT

NEET - 2021

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The energy that will be ideally radiated by a \(100\) kW transmitter in \(1\) hour is:

1. \(1\times 10^{5}\) J

2. \(36\times 10^{7}\) J

3. \(36\times 10^{4}\) J

4. \(36\times 10^{5}\) J

1. \(1\times 10^{5}\) J

2. \(36\times 10^{7}\) J

3. \(36\times 10^{4}\) J

4. \(36\times 10^{5}\) J

Subtopic: Power |

74%

From NCERT

NEET - 2022

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An electric lift with a maximum load of \(2000\) kg (lift+passengers) is moving up with a constant speed of \(1.5\) ms^{–1}. The frictional force opposing the motion is \(3000\) N. The minimum power delivered by the motor to the lift in watts is: (Take \(g=10\) ms^{–2})

1. | \(23500\) | 2. | \(23000\) |

3. | \(20000\) | 4. | \(34500\) |

Subtopic: Power |

63%

From NCERT

NEET - 2022

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A particle of mass \(4M\) kg at rest splits into two particles of mass \(M\) and \(3M.\) The ratio of the kinetic energies of mass \(M\) and \(3M\) would be:

1. \(3:1\)

2. \(1:4\)

3. \(1:1\)

4. \(1:3\)

1. \(3:1\)

2. \(1:4\)

3. \(1:1\)

4. \(1:3\)

Subtopic: Collisions |

63%

From NCERT

NEET - 2022

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A block of mass \(m\) is moving with initial velocity \(u\) towards a stationary spring of stiffness constant \(k\) attached to the wall as shown in the figure. Maximum compression of the spring is:

(The friction between the block and the surface is negligible).

1. \(u\sqrt{\dfrac{m}{k}}\)

2. \(4u\sqrt{\dfrac{m}{k}}\)

3. \(2u\sqrt{\dfrac{m}{k}}\)

4. \(\dfrac12u\sqrt{\dfrac{k}{m}}\)

Subtopic: Elastic Potential Energy |

79%

From NCERT

NEET - 2022

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