Q. No.| 1. | \(200~\text{J/s}\) | 2. | \(40~\text{J/s}\) |
| 3. | \(140~\text{J/s}\) | 4. | \(170~\text{J/s}\) |
1. \(v=\left(\frac{2Pt}{m}\right)^{1/2}\)
2. \(v=\left(2Ptm\right)^{1/3}\)
3. \(v=\left(\frac{8Pt^3}{9m}\right)^{1/2}\)
4. \(v=\left(2Pt^3m\right)^{1/2}\)
1. \(0.24~\text{kW}\)
2. \(2.4~\text{W}\)
3. \(2.4~\text{kW}\)
4. \(24~\text{W}\)
An engine pumps liquid of density d continuously through a pipe of cross-sectional area A. If the speed with which liquid passes through the pipe is v, then the rate at which kinetic energy is being imparted to the liquid by the pump is:
| 1. | 2. | ||
| 3. | 4. |
1. \(8.1\) kW
2. \(10.2\) kW
3. \(12.3\) kW
4. \(7.0\) kW
1. \(10.9~\text{m}^{3}\)
2. \(0.45~\text{m}^{3}\)
3. \(1.8~\text{m}^{3}\)
4. \(0.25~\text{m}^{3}\)
A truck of mass \(30,000~\text{kg}\) moves up an inclined plane of slope \(1\) in \(100\) \(\left(\tan\theta = \frac{1}{100}\right)\) at a speed of \(30~\text{km/h}\). The power of the truck is: (given \(g=10~\text{ms}^{-2}\)):
| 1. | \(25~\text{kW}\) | 2. | \(10~\text{kW}\) |
| 3. | \(5~\text{kW}\) | 4. | \(2.5~\text{kW}\) |
The power supplied to a particle of mass 2 kg varies with time as Watt, where t is in seconds. If the velocity of a particle at t = 0 is v = 0, then the velocity of the particle at t = 2 s will be:
| 1. | \(1 \mathrm{~m} / \mathrm{s} \) | 2. | \(4 \mathrm{~m} / \mathrm{s} \) |
| 3. | \(2 \mathrm{~m} / \mathrm{s} \) | 4. | \(2 \sqrt{2} \mathrm{~m} / \mathrm{s}\) |
A particle of mass m is moving in a circular path with a speed v = kt, where k is constant and t is time. The instantaneous power delivered to the particle is:
| 1. | Zero | 2. | mkt |
| 3. | 4. |
The speed of a particle moving in a circular path decreases with time. The instantaneous power due to the force acting on it will be:
1. Positive
2. Negative
3. Zero
4. Maybe positive or negative
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