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Gravitation question

2023 · Q160
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Gravitation question

2023 · Q160

NEETPhysicsGravitationMCQ+4 / −1

If R\mathrm{R}R is the radius of the earth and g\mathrm{g}g is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be :

  1. A
    πRG12 g\frac{\pi \mathrm{RG}}{12 \mathrm{~g}}12 gπRG​
  2. B
    3πR4gG\frac{3 \pi R}{4 g G}4gG3πR​
  3. C
    3g4πRG\frac{3 g}{4 \pi R G}4πRG3g​
  4. D
    4πG3gR\frac{4 \pi \mathrm{G}}{3 g R}3gR4πG​
View written solutionFree

Correct answer: C

$$ \begin{aligned} & g=\frac{4}{3} \pi \mathrm{GR} \rho \\ & \rho=\frac{3 g}{4 \pi \mathrm{GR}} \end{aligned} $$

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