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7. gravitation — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics7. gravitation1 Mark
MCQ
The escape velocity for the earth is $11.2\, km/sec$. The mass of another planet is $100$ times that of the earth and its radius is $4$ times that of the earth. The escape velocity for this planet will be ......... $km/sec$​
  • A
    $112.0$
  • B
    $5.6$
  • C
    $280.0$
  • ✓
    $56.0$
✓

Answer

Correct option: D.
$56.0$
d
$v = \sqrt {\frac{{2\,GM}}{R}} \Rightarrow \frac{{{v_p}}}{{{v_e}}} = \sqrt {\frac{{{M_p}}}{{{M_e}}} \times \frac{{{R_e}}}{{{R_p}}}} $ 

$ \Rightarrow \,\,{v_p} = 5{v_e} = 5 \times 11.2 = 56\,\,km/s$

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