- 1(current)
Q. No.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 |
72%
Level 2: 60%+
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%
Level 1: 80%+
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 |
55%
Level 3: 35%-60%
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%
Level 2: 60%+
AIPMT - 2012
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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 |
66%
Level 2: 60%+
NEET - 2022
Hints
A boat of mass \(200\) kg is accelerated by an engine of power \(16\) kW. If the boat covers a distance of \(72\) km in \(2\) hr, the acceleration of the boat is:
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
Subtopic: Power |
80%
Level 1: 80%+
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