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7. gravitation — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics7. gravitation1 Mark
MCQ
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
    $6$
  • ✓
    Nearly $8$
  • D
    $1.66$
✓

Answer

Correct option: C.
Nearly $8$
c
(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)}}$

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