Q60 / 75 · JEE Main 2025 (4 Apr Shift 1) · Physics

Given below are two statements: one is labelled as Assertion $\mathrm{A}$ and the other is labelled as Reason $\mathrm{R}$ Assertion A : The kinetic energy needed to project a body of mass m from earth surface to infinity is $\frac{1}{2} \mathrm{mgR}$, where R is the radius of earth.
Reason $\mathrm{R}$ : 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

  • Correct answer
    A
    $\mathrm{A}$ False but $\mathrm{R}$ is true
  • B
    Both $\mathrm{A}$ and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$
  • C
    $\mathrm{A}$ is true but $\mathrm{R}$ is false
  • D
    (4) Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is NOT the correct explanation of $\mathrm{A}$

Solution

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

Hence, the correct answer is option: 'A'.

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