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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Gravitation

NEET 2024 · Physics · Gravitation

The mass of a planet is (1)/(10) th that of the earth and its...

The mass of a planet is 110\frac{1}{10} th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

Options

  1. A9.8 m s−29.8 \mathrm{~m} \mathrm{~s}^{-2}
  2. B4.9 m s−24.9 \mathrm{~m} \mathrm{~s}^{-2}
  3. C3.92 m s−23.92 \mathrm{~m} \mathrm{~s}^{-2}
  4. D19.6 m s−219.6 \mathrm{~m} \mathrm{~s}^{-2}

Correct answer

C. 3.92 m s−23.92 \mathrm{~m} \mathrm{~s}^{-2}

Step-by-step solution

g′=GM′R2=GM10(R2)2=410GMR2=0.4×9.8=3.92 m s−2\begin{aligned} g^{\prime}=\frac{G M^{\prime}}{R^2} & =\frac{G M}{10\left(\frac{R}{2}\right)^2} \\ & =\frac{4}{10} \frac{G M}{R^2}=0.4 \times 9.8 \\ & =3.92 \mathrm{~m} \mathrm{~s}^{-2}\end{aligned}
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