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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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? (Assume Newton's theory of gravitation to hold true)
1. \(\dfrac{Rc^2}{G}\) 2. \(\dfrac{Rc^2}{2G}\)
3. \(\dfrac{2Rc^2}{G}\) 4. \(\sqrt2\dfrac{Rc^2}{G}\)
Subtopic:  Escape velocity |
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From NCERT
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The escape velocity of a body on the earth's surface is \(11.2~\text{km/s}.\) If the same body is projected upward with a velocity \(22.4~\text{km/s},\) the velocity of this body at an infinite distance from the centre of the earth will be:
1. \(11.2\sqrt2~\text{km/s}\)  2. zero
3. \(11.2~\text{km/s}\)  4. \(11.2\sqrt3~\text{km/s}\) 
Subtopic:  Escape velocity |
From NCERT
NEET - 2023
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