A pump on the ground floor of a building can pump up water to fill a tank of volume30 m3 in 15 min. If the tank is 40 m above the ground and the efficiency of the pump is 30%. Then electric power consumed by the pump is:
1. 44.4 kW
2. 44 kW
3. 40.7 kW
4. 45 kW

Subtopic:  Power |
 57%
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NEET 2023 - Target Batch - Aryan Raj Singh
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A body of mass 2 kg initially at rest moves under the action of an applied horizontal force of 7 N on a table with a coefficient of kinetic friction = 0.1. The work done by the applied force in 10 s is:

1. 882 J
2. 635 J
3. 247 J
4. 120 J

Subtopic:  Concept of Work |
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NEET 2023 - Target Batch - Aryan Raj Singh
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The potential energy function for a particle executing linear simple harmonic motion is given by \(V(x)=\frac{kx^2}{2}\), where \(k\) is the force constant of the oscillator. For \(k=0.5\) N/m, the graph of \(V(x)\) versus \(x\) is shown in the figure. A particle of total energy \(1\) J moving under this potential must turn back when it reaches:

      
1. \(\mathrm{x}=\pm 1\) m
2. \(\mathrm{x}=\pm 2\) m
3. \(\mathrm{x}=\pm 3\) m
4. \(\mathrm{x}=\pm 4\) m

Subtopic:  Elastic Potential Energy |
 78%
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

Which one of the following statement is wrong?

1. When a conservative force does positive work on a body, the potential energy of the body decreases.
2. Work done by a body against friction always results in a loss of its kinetic energy.
3. The rate of change of the total momentum of a many-particle system is proportional to the sum of the internal forces on the system.
4. In an inelastic collision of two bodies, the total linear momentum of the system of two bodies does not change after the collision.

Subtopic:  Concept of Work | Work Energy Theorem |
 54%
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NEET 2023 - Target Batch - Aryan Raj Singh
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An electron and a proton are detected in a cosmic ray experiment, the first with kinetic energy 10 keV, and the second with 100 keV. The ratio of their speeds is:

(me9.31×10-31 kgmp1.67×10-27 kg, 1 eV = 1.60×10-19 kg).

1. 13.5: 1
2. 1: 1
3. 1: 13.5
4. 2: 1

Subtopic:  Concept of Work |
 64%
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NEET 2023 - Target Batch - Aryan Raj Singh
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A raindrop of radius \(2\) mm falls from a height of \(500\) m above the ground. It falls with decreasing acceleration (due to viscous resistance of the air) until, at half its original height, it attains its maximum (terminal) speed, and moves with uniform speed thereafter. What is the work done by the gravitational force on the drop in the first and second half of its journey?

1. \(0\) in each half
2. \(0.082\) J in each half
3. \(17.87\) J in each half
4. \(0.045\) J in each half

Subtopic:  Gravitational Potential Energy |
 61%
From NCERT
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

Two identical ball bearings in contact with each other and resting on a frictionless table are hit head-on by another ball bearing of the same mass moving initially with a speed V. If the collision is elastic, which of the following figure is a possible result after collision?

1.  (i)

2.  (ii)

3.  (iii)

4.  None of these.

Subtopic:  Collisions |
 63%
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NEET 2023 - Target Batch - Aryan Raj Singh
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The bob A of a pendulum released from 30° to the vertical hits another bob B of the same mass at rest on a table as shown in the figure. How high does bob A rise after the collision? Neglect the size of the bobs and assume the collision to be elastic. 

    

1. Bob A will rise to a height of 0.01 m.
2. Bob A will rise to a height of 0.5 m.
3. Bob A will not rise at all.
4. Bob A will rise to a height of 0.3 m.

Subtopic:  Collisions |
 66%
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NEET 2023 - Target Batch - Aryan Raj Singh
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The bob of a pendulum is released from a horizontal position. If the length of the pendulum is 1.5 m, what is the speed with which the bob arrives at the lowermost point, given that it dissipated 5% of its initial energy against air resistance?

1. 2.5 m/s

2. 3.9 m/s

3. 4.7 m/s

4. 5.3 m/s

Subtopic:  Work Energy Theorem |
 57%
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NEET 2023 - Target Batch - Aryan Raj Singh
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A body of mass 0.5 kg travels in a straight line with velocity v=ax3/where a=5 m-1/2 s-1. What is the work done by the net force during its displacement from x = 0 to x = 2 m?

1. 50 J

2. 45 J

3. 68 J

4. 90 J

Subtopic:  Work Energy Theorem |
 63%
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NEET 2023 - Target Batch - Aryan Raj Singh
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