JEE MAIN - Physics (2021 - 25th February Morning Shift - No. 18)
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 :
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 :
Both A and R are correct and R is the correct explanation of A
Both A and R are correct but R is NOT the correct explanation of A
A is correct but R is not correct
A is not correct but R is correct
Explanation
$${v_e}$$ = escape velocity
$${v_e} = \sqrt {{{2GM} \over R}} $$
so for same $${v_e},{{{M_1}} \over {{R_1}}} = {{{M_2}} \over {{R_2}}}$$
A is true but R is false
$${v_e} = \sqrt {{{2GM} \over R}} $$
so for same $${v_e},{{{M_1}} \over {{R_1}}} = {{{M_2}} \over {{R_2}}}$$
A is true but R is false
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