# Water falls from a height of 60 m at the rate of 15 kg/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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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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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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