TS EAMCET · Physics · Gravitation
A body is projected from the earth's surface with a speed \(\sqrt{5}\) times the escape speed \(\left(\mathrm{V}_{\mathrm{e}}\right)\). The speed of the body when it escapes from the gravitational influence of the earth is
- A \(2 \mathrm{~V}_{\mathrm{e}}\)
- B \(V_e\)
- C \(3 \mathrm{~V}_{\mathrm{e}}\)
- D \(5 \mathrm{~V}_{\mathrm{e}}\)
Answer & Solution
Correct Answer
(A) \(2 \mathrm{~V}_{\mathrm{e}}\)
Step-by-step Solution
Detailed explanation
\(\frac{1}{2} m v_{\text{initial}}^2 - \frac{G M m}{R} = \frac{1}{2} m v_{\text{final}}^2 + 0\) \(v_{\text{initial}}^2 - V_e^2 = v_{\text{final}}^2\) \((\sqrt{5} V_e)^2 - V_e^2 = v_{\text{final}}^2\) \(5 V_e^2 - V_e^2 = v_{\text{final}}^2\) \(4 V_e^2 = v_{\text{final}}^2\)…
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
- In a double slit interference experiment, the fringe width obtained with a light of wavelength \(5900 Å\) was \(1.2 \mathrm{~mm}\) for parallel narrow slits placed \(2 \mathrm{~mm}\) apart. In this arrangement, if the slit separation is increased by one-and-half times the previous value, then the fringe width isTS EAMCET 2014 Easy
- A person tries to broadcast with the same antenna both the signals at \(10^7 \mathrm{~Hz}\) and \(10^6 \mathrm{~Hz}\). If the receiver at some distance has to receive an equal strength for both the frequencies, then the broadcaster has to approximately increase the signal strength at \(10^6 \mathrm{~Hz}\) to \(10^7 \mathrm{~Hz}\) byTS EAMCET 2018 Easy
- In a transistor circuit, when the base current is increased by 50 micro-amperes keeping the collector voltage fixed at 2 volts, the collector current increases by \(1 \mathrm{~mA}\). The current gain of the transistor isTS EAMCET 2002 Easy
- An engine is dragging a mass of \(5000 \mathrm{~kg}\) with a velocity of \(5 \mathrm{~ms}^{-1}\) along a smooth inclined plane of inclination 1 in 50 . Then the power of the engine isTS EAMCET 2023 Medium
- If \(96.875 \%\) of a radioactive substance decays in 10 days, then the half life of the substance is (in days)TS EAMCET 2025 Medium
- A uniform conductor of resistance \(R\) is cut into 20 equal pieces. Half of them are joined in series and the remaining half of them are connected in parallel. If the two combinations are joined in series, the effective resistance of all the pieces isTS EAMCET 2002 Easy
More PYQs from TS EAMCET
- In a photoelectric experiment three different lights are incident on a metal of work function \(1.5 \mathrm{eV}\). Light \(A\) is \(200 \mathrm{~nm}\) wavelength with intensity \(1.8 \mathrm{~W} / \mathrm{m}^2\), light \(B\) is \(400 \mathrm{~nm}\) with \(1 \mathrm{~W} / \mathrm{m}^2\) and light \(C\) is \(600 \mathrm{~nm}\) with \(0.5 \mathrm{~W} / \mathrm{m}^2\). The current versus voltage is measured. Which graphs correspond to which light?
TS EAMCET 2021 Easy - Water in a river \(20 \mathrm{~m}\) deep is flowing at a speed of \(10 \mathrm{~ms}^{-1}\). The shearing stress between the horizontal layers of water in the river in \(\mathrm{Nm}^{-2}\) is (Coefficient of viscosity of water \(=10^{-3} \mathrm{ \ SI}\) units)TS EAMCET 2004 Hard
- A ball is allowed to fall freely from a height of 42 m from the ground. If the coefficient of restitution between the ball and the ground is 0.4, then the total distance travelled by the ball before it comes to rest isTS EAMCET 2025 Medium
- The heat required to convert 8 g of ice at a temperature of \(-20^{\circ} \mathrm{C}\) to steam at \(100^{\circ} \mathrm{C}\) is [Specific heat capacity of ice \(=2100 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), specific heat capacity of water \(=4200 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), latent heat of fusion of ice \(=336 \times 10^3 \mathrm{~J} \mathrm{~kg}^{-1}\) and latent heat of steam \(\left.=2.268 \times 10^6 \mathrm{Jkg}^{-1}\right]\)TS EAMCET 2025 Medium
- Three particles \(A, B\) and \(C\) of masses \(m, 2 m\) and \(3 m\) are moving towards north, south and east respectively. If the velocities of the particles \(A, B\) and \(C\) are \(6 \mathrm{~ms}^{-1}, 12 \mathrm{~ms}^{-1}\) and \(8 \mathrm{~ms}^{-1}\) respectively, then the velocity of the centre of mass of the system of particles isTS EAMCET 2024 Medium
- In hydrogen atom spectra, if the ratio of wavelengths corresponding to the first of Lyman series and the first line of Balmer series is \(9 \alpha\), the value of \(\alpha\) isTS EAMCET 2021 Easy