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The radius in kilometre to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity is increased 10 times is ____________
in Physics
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64 km

solution::

Escape velocity =$$\sqrt{2GM\over R}$$

we know mass remain unchanged

$$V_e' \over V_e$$ =$$\sqrt{R_e\over R_e'}$$

$${{10V\over e}\over {V\over e}} ={\sqrt{6400\over R_e'}}$$

$$R_e'=64 km$$

by Expert (10.7k points)