Q. No.At any instant of time \(t,\) the displacement of any particle is given by \(2t-1\) (SI unit) under the influence of the force of \(5~\text N.\) The value of instantaneous power (in SI units) is:
1. \(5\)
2. \(7\)
3. \(6\)
4. \(10\)
1. \(5\)
2. \(7\)
3. \(6\)
4. \(10\)
Subtopic: Power |
73%
From NCERT
NEET - 2024
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A particle moves with a velocity \((5\hat i-3\hat j+6\hat k)~\text{ms}^{-1}\) horizontally under the action of a constant force \((10\hat i+10\hat j+20\hat k)~\text N.\) The instantaneous power supplied to the particle is:
| 1. | \(200~\text W\) | 2. | zero |
| 3. | \(100~\text W\) | 4. | \(140~\text W\) |
Subtopic: Power |
79%
From NCERT
NEET - 2023
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The energy that will be ideally radiated by a \(100~\text{kW}\) transmitter in \(1~\text{hr}\) is:
| 1. | \(1\times 10^{5}~\text J\) | 2. | \(36\times 10^{7}~\text J\) |
| 3. | \(36\times 10^{4}~\text J\) | 4. | \(36\times 10^{5}~\text J\) |
Subtopic: Power |
76%
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. \(34500\)
(Take \(g=10\) ms–2)
1. \(23500\)
2. \(23000\)
3. \(20000\)
4. \(34500\)
Subtopic: Power |
65%
From NCERT
NEET - 2022
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Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine?
| 1. | 12.3 kW | 2. | 7.0 kW |
| 3. | 10.2 kW | 4. | 8.1 kW |
Subtopic: Power |
71%
From NCERT
NEET - 2021
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A body of mass \(1~\text{kg}\) begins to move under the action of a time-dependent force \(\vec{F}=\left(2 t \hat{i}+3 t^2 \hat{j}\right) ~\text N,\) where \(\hat{i}\) and are unit vectors along the \({X}\) and \({Y}\text-\)axis. What power will be developed by the force at the time \((t)?\)
| 1. | \(\left(2 t^2+4 t^4\right)~\text W\) | 2. | \(\left(2 t^3+3 t^3\right) ~\text W\) |
| 3. | \(\left(2 t^3+3 t^5\right) ~\text W\) | 4. | \(\left(2 t^3+3 t^4\right) ~\text W\) |
Subtopic: Power |
80%
From NCERT
NEET - 2016
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A particle of mass \(m\) is driven by a machine that delivers a constant power of \(k\) watts. If the particle starts from rest, the force on the particle at the time \(t\) is:
| 1. | \( \sqrt{\frac{m k}{2}} t^{-1 / 2} \) | 2. | \( \sqrt{m k} t^{-1 / 2} \) |
| 3. | \( \sqrt{2 m k} t^{-1 / 2} \) | 4. | \( \frac{1}{2} \sqrt{m k} t^{-1 / 2}\) |
Subtopic: Power |
54%
From NCERT
NEET - 2015
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A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude \(P_0\). The instantaneous velocity of this car is proportional to:
1. \(t^{\frac{1}{2}}\)
2. \(t^{\frac{-1}{2}}\)
3. \(\frac{t}{\sqrt{m}}\)
4. \(t^2 P_0\)
Subtopic: Power |
70%
From NCERT
AIPMT - 2012
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An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 ms-1. The mass per unit length of water in the pipe is What is the power of the engine?
1. 400 W
2. 200 W
3. 100 W
4. 800 W
Subtopic: Power |
From NCERT
AIPMT - 2010
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A particle of mass \(M\) starting from rest undergoes uniform acceleration. If the speed acquired in time \(T\) is \(V\), the power delivered to the particle is:
1. \(\frac{1}{2}\frac{MV^2}{T^2}\)
2. \(\frac{MV^2}{T^2}\)
3. \(\frac{1}{2}\frac{MV^2}{T}\)
4. \(\frac{MV^2}{T}\)
Subtopic: Power |
70%
From NCERT
AIPMT - 2010
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