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JEE Main 20254 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
4 April
Shift
Morning Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2025 · 4 April · Morning Shift · Physics · Gravitation

Given below are two statements: one is labelled as Assertion A and...

Given below are two statements: one is labelled as Assertion A\mathrm{A} and the other is labelled as Reason R\mathrm{R} Assertion A : The kinetic energy needed to project a body of mass m from earth surface to infinity is 12mgR\frac{1}{2} \mathrm{mgR}, where R is the radius of earth.
Reason R\mathrm{R} : The maximum potential energy of a body is zero when it is projected to infinity from earth surface.
In the light of the above statements, choose the correct answer from the option given below

Options

  1. AA\mathrm{A} False but R\mathrm{R} is true
  2. BBoth A\mathrm{A} and R\mathrm{R} are true and R\mathrm{R} is the correct explanation of A\mathrm{A}
  3. CA\mathrm{A} is true but R\mathrm{R} is false
  4. D(4) Both A\mathrm{A} and R\mathrm{R} are true but R\mathrm{R} is NOT the correct explanation of A\mathrm{A}

Correct answer

A. A\mathrm{A} False but R\mathrm{R} is true

Step-by-step solution

KE=12 m(2GmR)=mgR\mathrm{KE}=\frac{1}{2} \mathrm{~m}\left(\frac{2 \mathrm{Gm}}{\mathrm{R}}\right)=\mathrm{mgR}
Assertion wrong
at ∞\infty
U=0\mathrm{U}=0
∴\therefore Reason correct.
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