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. \(25~\text{J}\)
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. inclined at an angle of \(60^{\circ}\) from vertical.
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/s2)

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
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. \(1:3\)
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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