TS EAMCET · Physics · Gravitation
The gravitational field in a region is given by equation \(\mathbf{E}=(5 \mathbf{i}+12 \mathbf{j}) \mathrm{N} / \mathrm{kg}\). If a particle of mass \(2 \mathrm{~kg}\) is moved from the origin to the point \((12 \mathrm{~m}, 5 \mathrm{~m})\) in this region, the change in gravitational potential energy is
- A \(-225 \mathrm{~J}\)
- B \(-240 \mathrm{~J}\)
- C \(-245 \mathrm{~J}\)
- D \(-250 \mathrm{~J}\)
Answer & Solution
Correct Answer
(B) \(-240 \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
We have, \(\begin{aligned} d V & =-E \cdot d r=-(5 \mathbf{i}+12 \mathbf{j}) \cdot(12 \mathbf{i}+15 \mathbf{j}) \\ & =(60+60)=-120\end{aligned}\) The change in gravitational potential energy \(U=m d V=2 \times(-120)=-240 \mathrm{~J}\)
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
- If the displacement of a body is given by \(x=3 \cos \left[2 \pi t+\frac{\pi}{4}\right] \mathrm{m}\), then the acceleration of the body at \(t=2 \mathrm{~s}\) isTS EAMCET 2019 Easy
- How many rotational degrees of freedom does a rigid diatomic molecule have?TS EAMCET 2020 Easy
- The speed of sound in air at temperature \(T\) and pressure \(p\) is \(v\). When the temperature is increased to \(2 T\) and the pressure is reduced to \(\frac{p}{2}\), then the speed is changed toTS EAMCET 2018 Easy
- If a man of mass \(50 \mathrm{~kg}\) is in a lift moving down with an acceleration equal to acceleration due to gravity, then the apparent weight of the man isTS EAMCET 2023 Easy
- An engine performs \(2000 \mathrm{~J}\) of mechanical work and discards \(4000 \mathrm{~J}\) of heat each cycle. What is the thermal efficiency of the engine?TS EAMCET 2021 Easy
- A uniform chain of length \(L\) is lying on the horizontal table. If the coefficient of friction between the chain and the table top is \(\mu\), what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?TS EAMCET 2011 Hard
More PYQs from TS EAMCET
- A small block of mass \(5 \mathrm{~g}\) and charge \(5 \mu \mathrm{C}\) is placed on insulated, frictionless, inclined plane of angle \(60^{\circ}\). An electric field is applied parallel to the inclined plane. If the block remains at rest then the magnitude of electric field is \(\left[\right.\) Take \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\))TS EAMCET 2022 Easy
- If \(\lambda_0\) is the de-Broglie wavelength for a proton accelerated through a potential difference of \(100 \mathrm{~V}\), the de-Broglie wavelength for \(\alpha\)-particle accelerated through the same potential difference isTS EAMCET 2002 Hard
- An ideal gas at initial temperature \(T_0\) and initial volume \(V_0\) is expanded adiabatically to a volume \(2 V_0\). The gas is then expanded isothermally to a volume \(5 V_0\) and there after compressed adiabatically so that the temperature of the gas becomes again \(T_0\). If the final volume of the gas is \(\alpha V_0\), then the value of constant \(\alpha\) isTS EAMCET 2019 Easy
- The pressure to be applied to the ends of a steel cylinder to keep its length constant upon raising its temperature by \(100^{\circ} \mathrm{C}\) is (thermal expansion coefficient, \(\alpha=11 \times 10^{-6} / \mathrm{K}\), Young's modulus \(=200 \mathrm{GPa}\) )TS EAMCET 2018 Easy
- A body mass of \(1 \mathrm{~kg}\), initially at rest explodes and breaks into three parts. The masses of the parts are in the ratio \(1: 1: 3\). The two pieces of equal mass fly off perpendicular to each other with a speed of \(30 \mathrm{~m} / \mathrm{s}\) each. The velocity of the heavier part in \(\mathrm{m} / \mathrm{s}\) isTS EAMCET 2015 Easy
- At a certain place, the angle of dip is \(60^{\circ}\) and the horizontal component of the earth's magnetic field \(\left(B_H\right)\) is \(0.8 \times 10^{-4} \mathrm{~T}\). The earth's overall magnetic field isTS EAMCET 2014 Medium