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Question: Answered & Verified by Expert
If the radius and acceleration due to gravity both are doubled, escape velocity of earth will become
PhysicsGravitationJEE Main
Options:
  • A $11.2 \mathrm{~km} / \mathrm{s}$
  • B $22.4 \mathrm{~km} / \mathrm{s}$
  • C $5.6 \mathrm{~km} / \mathrm{s}$
  • D $44.8 \mathrm{~km} / \mathrm{s}$
Solution:
2069 Upvotes Verified Answer
The correct answer is: $22.4 \mathrm{~km} / \mathrm{s}$
$v=\sqrt{2 g R}$. If $g$ and $R$ both are doubled then $v$ will becomes two times i.e. $11.2 \times 2=22.4 \mathrm{~km} / \mathrm{s}$

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