The escape velocity of a body on the surface of the earth is $11.2 \,km/s$. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become ......... $km/s$
$5.6$
$11.2$
$22.4$
$44.8$
The escape velocity of a body on the surface of the earth is $11.2 \,km/s$. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become ......... $km/s$
${v_e} = \sqrt {\frac{{2GM}}{R}} $
${v_e} \propto \sqrt {\frac{M}{R}} $
If $M$ becomes double and $R$ becomes half then escape velocity becomes two times.
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