TS EAMCET · Physics · Work Power Energy
An object is moving in a straight line under the influence of a source of constant power. If \(v\) and \(t\) are velocity and time respectively, then
- A \(v \propto t^2\)
- B \(v \propto t^{\frac{1}{2}}\)
- C \(v \propto t\)
- D \(v \propto t^{\frac{3}{2}}\)
Answer & Solution
Correct Answer
(B) \(v \propto t^{\frac{1}{2}}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{As} P=F V \\ & \Rightarrow \mathrm{P}=\mathrm{m} \frac{\mathrm{dV}}{\mathrm{dt}} \cdot \mathrm{V} \Rightarrow \mathrm{Pdt}=\mathrm{mV} \mathrm{dV} \\ & \Rightarrow \int_0^{\mathrm{t}} \mathrm{Pdt}=\mathrm{m} \int_0^{\mathrm{V}} \mathrm{VdV} \Rightarrow…
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
- For a combination of two convex lenses of focal lengths ' \(f_1{ }^{\prime}\) and ' \(f_2\) ' to act as a glass slab, the distance of separation between them isTS EAMCET 2024 Medium
- If the acceleration due to gravity \(g\) doubles and the radius of earth becomes half that of the present value, then the value of escape velocity is (Assume, \(g=10 \mathrm{~m} / \mathrm{s}^2\) and radius of earth, \(R=6400 \mathrm{~km}\) )TS EAMCET 2019 Easy
- A stiff spring having spring constant \(k=400 \mathrm{~N} / \mathrm{m}\) is attached to the floor vertically. A mass \(m=10 \mathrm{~kg}\) is placed on top of the spring. The block oscillates if it is pressed downward and released. Find the extension in the spring at which the block loses contact with spring. (Take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
TS EAMCET 2020 Medium - 'A horizontal uniform glass tube of \(100 \mathrm{~cm}\), length sealed at both ends contains \(10 \mathrm{~cm}\) mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively \(31^{\circ} \mathrm{C}\) and \(76 \mathrm{~cm}\) of mercury. If the air column at one end is kept at \(0^{\circ} \mathrm{C}\) and the other end at \(273^{\circ} \mathrm{C}\), then the pressure of air which is at \(0^{\circ} \mathrm{C}\) is : (in \(\mathrm{cm}\) of \(\mathrm{Hg}\) )TS EAMCET 2003 Medium
- The following statements are given about hydrogen atom. A. The wavelengths of the spectral lines of Lyman series are greater than the wavelength of the second spectral line of Balmer series. B. The orbits correspond to circular standing waves in which the circumference of the orbit equals a whole number of wavelengths.TS EAMCET 2015 Easy
- An object of mass \(2 m\) is projected with a speed of \(100 \mathrm{~ms}^{-1}\) at an angle \(\theta=\sin ^{-1}\left(\frac{3}{5}\right)\) to the horizontal. At the highest point, the object breaks into two pieces of same mass \(m\) and the first one comes to rest. The distance between the point of projection and the point of landing of the bigger piece (in metre) is (Given, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2007 Hard
More PYQs from TS EAMCET
- When \(Q_1\) amount of heat is supplied to a monatomic gas, the work done by the gas is \(W\). When \(Q_2\) amount of heat is supplied to a diatomic gas, the work done by the gas is \(2 W\). Then \(Q_1: Q_2=\)TS EAMCET 2024 Hard
- A signal of, is being carried on a carrier wave of . What are the side-band frequencies?TS EAMCET 2021 Medium
- The work function of a metal is . Light of frequency falls on this metal. The photoelectric effect will take place only ifTS EAMCET 2021 Easy
- Consider a simple harmonic motion (SHM). Let \(K\) and \(U\) be kinetic energy and potential energy when the displacement in SHM is one-half \(\left(\frac{1}{2}\right)\) the amplitude. Which of the correct statement?TS EAMCET 2020 Hard
- For a given mass of a gas at constant temperature, the volume and the pressure are \(\mathrm{V}\) and \(\mathrm{P}\) respectively. Then the slope of the graph drawn between \(\log _e V\) on \(\mathrm{X}\)-axis and \(\log _{\mathrm{e}} \mathrm{P}\) on \(\mathrm{Y}\)-axis isTS EAMCET 2023 Medium
- The force required to move a body up a rough inclined plane is double the force required to prevent the body from sliding down the plane. The coefficient of friction, when the angle of inclination of the plane is \(60^{\circ}\) isTS EAMCET 2014 Hard