A satellite is in a circular orbit around a planet, orbiting with a speed of \(2\) km/s. What is the minimum additional velocity that should be given to it, perpendicular to its motion, so that it escapes?
               
1. \(2\) km/s 2. \(2\sqrt2\) km/s
3. \(2(\sqrt2-1)\) km/s 4. \(2(\sqrt2+1)\) km/s
Subtopic:  Escape velocity |
From NCERT
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Assume Newton's theory of gravitation to hold true for the following. What should be the mass of a uniform sphere of radius \(R\) so that the escape velocity from its surface equals \(c,\) the velocity of light in vacuum?
1. \(\frac{Rc^2}{G}\)
2. \(\frac{Rc^2}{2G}\)
3. \(\frac{2Rc^2}{G}\)
4. \(\sqrt2\frac{Rc^2}{G}\)
Subtopic:  Escape velocity |
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The escape velocity of a body on the earth's surface is \(11.2\) km/s. If the same body is projected upward with a velocity \(22.4\) km/s, the velocity of this body at infinite distance from the center of the earth will be:
1. \(11.2\sqrt2\) km/s
2. zero
3. \(11.2\) km/s
4. \(11.2\sqrt3\) km/s
Subtopic:  Escape velocity |
From NCERT
NEET - 2023
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