The power of a water pump is 2 kW. If \( g = 10 \text{ m/s}^{2} \),
the amount of water it can raise in one minute to a height of 10 m is:
Show Hint
- 2000 liters
- 1000 liters
- 1200 liters
- 100 liters
The Correct Option is C
Solution and Explanation
Power $P = \frac{mgh}{t}$.
Step 2: Analysis
$P = 2000 \text{ W}, t = 60 \text{ s}, g = 10 \text{ m/s}^{2}, h = 10 \text{ m}$. $2000 = \frac{m \times 10 \times 10}{60} \Rightarrow m = \frac{2000 \times 60}{100}$.
Step 3: Conclusion
$m = 1200 \text{ kg}$. Since 1 kg of water $\approx$ 1 liter, the amount is 1200 liters.
Final Answer: (C)
Top MET Physics Questions
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- MET - 2020
- Physics
- Photoelectric Effect
- A parallel plate capacitor has an electric field of \(10^5\) V/m between the plates. If the charge on the capacitor plate is 1 \(\mu\)C, the force on each capacitor plate is
- MET - 2019
- Physics
- Electrostatics
- 1 g of water at atmospheric pressure has volume of 1 cc and when boiled it becomes 1681 cc of steam. The heat of vaporisation of water is 540 cal/g. Then the change in its internal energy in this process is
- MET - 2019
- Physics
- Thermodynamics terms
- The temperature coefficient of resistance of a wire is 0.00125 °C\(^{-1}\). At 300 K, its resistance is 1 \(\Omega\). At what temperature the resistance of the wire will be 2 \(\Omega\)?
- MET - 2019
- Physics
- Current electricity
- A physicist works in a laboratory where the magnetic field is 2 T. She wears a necklace enclosing area 0.01 m\(^2\) in such a way that the plane of the necklace is normal to the field and is having a resistance \(R = 0.01\ \Omega\). Because of power failure, the field decays to 1 T in time \(10^{-3}\) s. Then what is the total heat produced in her necklace?
- MET - 2019
- Physics
- Electromagnetic induction
Top MET work, energy and power Questions
- A force F acting on a body depends on its displacement S as \(F \propto S^{-1/3}\). The power delivered by F will depend on displacement as
- MET - 2019
- Physics
- work, energy and power
- A body moves a distance of 10 m under the action of force \(F = 10\) N. If the work done is 25 J, the angle which the force makes with the direction of motion is
- MET - 2019
- Physics
- work, energy and power
- A body of mass 8 kg is moved by a force \(F = 3x\) N, where x is the distance covered. Initial position is x = 2 m and the final position is x = 10 m. The initial speed is zero. The final speed is
- MET - 2019
- Physics
- work, energy and power
- \( 2HI(g) \rightleftharpoons H_{2}(g) + I_{2}(g) \). The equilibrium constant of the above reaction is 6.4 at 300 K. If 0.25 mole each of \( H_{2} \) and \( I_{2} \) are added to the system, the equilibrium constant will be
- MET - 2009
- Physics
- work, energy and power
- If \( x \) is numerically so small that \( x^{2} \) and higher powers of \( x \) can be neglected, then \( \left(1+\frac{2x}{3}\right)^{3/2} \cdot (32+5x)^{-1/5} \) is approximately equal to
- MET - 2009
- Physics
- work, energy and power
Top MET Questions
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- MET - 2020
- Photoelectric Effect
- If \(f(x) = \begin{cases} x, & 0 \le x \le 1 \\ 2x - 1, & 1<x \end{cases}\), then
- MET - 2019
- Continuity
Helicopters are very different from airplanes. They can do three things that airplanes cannot do. First, when airplanes move upward, they must also move forward, but helicopters can move straight up without moving ahead. Second, helicopters can fly backward, which airplanes cannot do. Third, helicopters can use their rotors to hover in the air, which is impossible for airplanes. Helicopters can perform actions that airplanes cannot, they are used for different tasks. Since, helicopters can take off without moving forward, they do not need a runway for take off. They are used in congested areas where there is no room for airplanes or in isolated areas, which do not have airports. Because they can hover, they are used on firefighting missions to drop water on fires. They are used in logging operations to lift trees out of forests. Helicopters are used as air ambulances to airlift patients out of situations, which are difficult to reach by conventional ambulances. The police used helicopters to follow suspects on the ground or to search for cars on the ground. Of course, helicopters have military uses because of their design and capabilities.
- MET - 2019
- Reading Comprehension
- Find the missing character.
- MET - 2019
- Number Patterns
- 6, 9, 12, 15, 18, ?
- MET - 2019
- Number Patterns