KCET · Physics · Electromagnetic Induction
A motor pump lifts \( 6 \) tonnes of water from a well of depth \( 25 \mathrm{~m} \) to the first floor of height \( 35 \mathrm{~m} \)
from the ground floor in \( 20 \) minutes. The power of the pump (in \( \mathrm{kW} \) ) is: \( \left[\mathrm{g}=10 \mathrm{~ms}^{-2}\right] \)
- A \( 03 \)
- B \( 06 \)
- C \( 1.5 \)
- D \( 12 \)
Answer & Solution
Correct Answer
(A) \( 03 \)
Step-by-step Solution
Detailed explanation
Given, mass of water \(=6\) tonnes \(=6 \times 1000\); depth of well \(=25 \mathrm{~m}\); height of first floor \(=35 \mathrm{~m}\); time \(=20\) minutes
\(=20 \times 60 \mathrm{~s}\)
Power of pump \(=\frac{\text { work done }}{\text { time }}=\frac{\mathrm{mgh}}{\text { time }}\)
\(\Rightarrow\) Power
\(=\frac{6 \times 1000 \times 10 \times(25+35)}{20 \times 60}=3000 \mathrm{~W}\)
Therefore, power of pump is \(3 \mathrm{~kW}\)
\(=20 \times 60 \mathrm{~s}\)
Power of pump \(=\frac{\text { work done }}{\text { time }}=\frac{\mathrm{mgh}}{\text { time }}\)
\(\Rightarrow\) Power
\(=\frac{6 \times 1000 \times 10 \times(25+35)}{20 \times 60}=3000 \mathrm{~W}\)
Therefore, power of pump is \(3 \mathrm{~kW}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Two thick wires and two thin wires, all of same material and same length, form a square in three different ways \(\mathrm{P}, \mathrm{Q}\) and \(\mathrm{R}\) as shown in the figure. With correct connections shown, the magnetic field due to the current flow, at the centre of the loop will be zero in case of
KCET 2010 Medium - In hydrogen atom, electron excites from ground state to higher energy state and its orbital velocity is reduced to \(\frac{1}{3}\) rd of its initial value. The radius of the orbit in the ground state is \(\mathrm{R}\).
The radius of the orbit in that higher energy state isKCET 2012 Hard - The magnetic field at the centre of a circular coil of radius \(R\) carrying current \(I\) is 64 times the magnetic field at a distance \(x\) on its axis from the centre of the coil. Then, the value of \(x\) isKCET 2024 Easy
- A plane wavefront of wavelength \( \lambda \) is incident on a slit of width \( \mathrm{a} \). The angular width of principle
maximum isKCET 2018 Medium - Given, a current carrying wire of non-uniform cross-section, which of the following is constant throughout the length of wire?KCET 2025 Easy
- The moment of inertia of a circular disc of radius \(2 \mathrm{~m}\) and mass \(1 \mathrm{~kg}\) about an axis passing through the centre of mass but perpendicular to the plane of the disc is \(2 \mathrm{~kg} \mathrm{~m}^{2}\). Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is (see the given figure).
KCET 2010 Medium
More PYQs from KCET
- A parallel plate capacitor of capacitance \(C_1\) with a dielectric slab in between its plates is connected to a battery. It has a potential difference \(V_1\) across its plates. When the dielectric slab is removed, keeping the capacitor connected to the battery, the new capacitance and potential difference are \(C_2\) and \(V_2\) respectively, ThenKCET 2023 Medium
- \(\int_0^1 \log \left(\frac{1}{x}-1\right) d x\) isKCET 2025 Medium
- For a 1st order change \(R \rightarrow P\), the concentration of Reactant R changes from \(0.1\) M to \(0.025\) M in \(40\) minutes. The rate of reaction when the concentration of R is \(0.01\) M is ____KCET 2026 Medium
- The plant body having holfast, stipe and frond is a characteristic ofKCET 2021 Medium
- If \(A\) and \(B\) are two independent events such that \(P(\bar{A})=0.75, P(A \cup B)=0.65\) and \(P(B)=x\), then find the value of \(x\).KCET 2022 Hard
- Which of the following is not true for \(\mathrm{S}_{\mathrm{N}}\) l reaction?KCET 2012 Medium