Medium MCQ +4 / -1 PYQ · JEE Mains 2021

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : The escape velocities of planet A and B are same. But A and B are of unequal mass.

Reason R : The product of their mass and radius must be same. M1R1 = M2R2

In the light of the above statements, choose the most appropriate answer from the options given below :

  1. A Both A and R are correct and R is the correct explanation of A
  2. B Both A and R are correct but R is NOT the correct explanation of A
  3. C A is correct but R is not correct Correct answer
  4. D A is not correct but R is correct

Solution

${v_e}$ = escape velocity<br><br>${v_e} = \sqrt {{{2GM} \over R}}$<br><br>so for same ${v_e},{{{M_1}} \over {{R_1}}} = {{{M_2}} \over {{R_2}}}$<br><br>A is true but R is false

About this question

Subject: Physics · Chapter: Gravitation · Topic: Newton's Law of Gravitation

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