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NEET
Exam
NEET
Subject
Physics
Chapter
Gravitation

NEET · Physics · Gravitation

Statement-I: All other planets except mercury and pluto revolve...

Statement-I: All other planets except mercury and pluto revolve around the sun in almost circular orbits. Statement-II: If the radius of planet decreases by (\mathrm{x} \%) keeping the mass constant. The acceleration due to gravity on its surface increases by (x \%).

Options

  1. ABoth Statement-I and Statement-II are correct.
  2. BBoth Statement-I and Statement-II are incorrect.
  3. CStatement-I is correct & Statement-II is incorrect.
  4. DStatement-I is incorrect & Statement-II is correct.

Correct answer

C. Statement-I is correct & Statement-II is incorrect.

Step-by-step solution

- I: Except Mercury and Pluto, the other planets have very small orbital eccentricities →→ orbits are nearly circular. ({ }^{\bullet}) II: (g=GMR2\frac{G M}{R^2}. If RR decreases by xx ((R^{\prime}=R\left(1-\frac{x}{100}\right)),then(g′=), then (g^{\prime}=\frac{G M}{R^2}=\frac{G M}{R^2\left(1-\frac{x}{10 \pi}\right)^2}=g\left(1-\frac{x}{100}\right)^{-2} It is not xx.
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