A particle moves with a velocity $$(5\hat i-3\hat j+6\hat k)$$ ms-1 horizontally under the action of constant force $$(10\hat i+10\hat j+20\hat k)$$ N. The instantaneous power supplied to the particle is:
1. $$200$$ W
2. zero
3. $$100$$ W
4. $$140$$ W
Subtopic:  Power |
74%
From NCERT
NEET - 2023
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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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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? $\left(g=10\right)$ $m/{s}^{2}$

 1 12.3 kW 2 7.0 kW 3 10.2 kW 4 8.1 kW
Subtopic:  Power |
69%
From NCERT
NEET - 2021
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A body of mass $$1$$ kg begins to move under the action of a time-dependent force $$\vec{F}=\left(2 t \hat{i}+3 t^2 \hat{j}\right)$$ N, where $$\hat{i}$$ and $$\hat{j}$$ are unit vectors along the $$\mathrm{X}$$ and $$\mathrm{Y}$$-axis. What power will be developed by the force at the time ($$t$$)?
1. $$\left(2 t^2+4 t^4\right)$$ W
2. $$\left(2 t^3+3 t^3\right)$$ W
3. $$\left(2 t^3+3 t^5\right)$$ W
4. $$\left(2 t^3+3 t^4\right)$$ W
Subtopic:  Power |
79%
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 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 |
53%
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 |
66%
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 $100$ $kg$ ${m}^{-1}.$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 |
68%
From NCERT
AIPMT - 2010
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An engine pumps water continuously through a hose. Water leaves the hose with a velocity $$v$$ and $$m$$ is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?
1. $$\frac{1}{2}mv^3$$
2. $$mv^3$$
3. $$\frac{1}{2}mv^2$$
4. $$\frac{1}{2}m^2v^2$$

Subtopic:  Power |
78%
From NCERT
AIPMT - 2009
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