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Gravitation — Physics STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 SciencePhysicsGravitation1 Mark
MCQ
Consider a planet whose density is same as that of the earth but whose radius is three times the radius ' $R$ ' of the earth. The acceleration due to gravity ' $g_n$ ' on the surface of planet is $g_n=x . g$ where $g$ is acceleration due to gravity on surface of earth. The value of ' $x$ ' is
  • A
    9
  • B
    3
  • C
    $\frac{1}{3}$
  • D
    $\frac{1}{9}$
✓

Answer

(b) : Given , ρ p = ρ e

R p = 3 R e ; g n = x g g = 4 3 π G R ρ g n g e = R p ρ p R e ρ e = 3 R e R e × ρ p ρ e = 3 x g g = 3 ⇒ x = 3

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