JEE Mains · Physics · STD 11 - Gravitation
- JEE Mains 2021
- Hard
- Numerical
The initial velocity \(v_{i}\) required to project a body vertically upward from the surface of the earth to reach a height of \(10\, R ,\) where \(R\) is the radius of the earth, may be described in terms of escape velocity \(v_{ e }\) such that \(v_{i}=\sqrt{\frac{x}{y}} \times v_{ e } .\) The value of \(x\) will be ...... .
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Answer & Solution
Correct Answer
(C) \(10\)
Step-by-step Solution
Detailed explanation
\(\frac{- GMm }{11 R }=\frac{- GMm }{ R }+\frac{1}{2} mv ^{2}\)
\(v =\sqrt{\frac{20 GM }{11 R }}\)
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