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Physics · Gravitation

NEET (UG) 2024 — Question 16

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

  1. Option A:

    19.6 m s−219.6 \mathrm{~m} \mathrm{~s}^{-2}

  2. Option B:

    9.8 m s−29.8 \mathrm{~m} \mathrm{~s}^{-2}

  3. Option C:

    4.9 m s−24.9 \mathrm{~m} \mathrm{~s}^{-2}

  4. Option D:

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

    Correct

Answer: D

Step-by-step solution

g′=GM′R′2=GM10(R2)2g^{\prime}=\frac{G M^{\prime}}{R^{\prime 2}}=\frac{G M}{10\left(\frac{R}{2}\right)^{2}}

=410GMR2=0.4×9.8=\frac{4}{10} \frac{G M}{R^{2}}=0.4 \times 9.8

=3.92 m s−2 =3.92 \mathrm{~m} \mathrm{~s}^{-2}

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2024
Paper
2024 paper
Subject
Physics
Chapter
Gravitation
Topic
Gravitational Field and Gravity

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