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7.Gravitation
easy
The ratio of the radius of the earth to that of the moon is $10$. The ratio of acceleration due to gravity on the earth and on the moon is $6$. The ratio of the escape velocity from the earth's surface to that from the moon is
A
$10$
B
$6$
C
Nearly $8$
D
$1.66$
Solution
(c) $\frac{{{v_{\rm{e}}}{\rm{ }}}}{{{v_m}}} = \sqrt {\frac{{{g_e}}}{{{g_m}}}\;\frac{{{R_e}}}{{{R_m}}}} $=$\sqrt {6 \times 10} $$ = \sqrt {60} \cong 8\;{\rm{(nearly)}}$
Standard 11
Physics
