Verified Solution • 2025–26 Session moderate

QNEET-2024-Ph-140: NEET 2024 Physics - Class 11 NEET-2024-Ph-140 Solution: The escape velocity for earth is v. A planet having 9 times…

The escape velocity for earth is v. A planet having 9 times mass that of earth and radius 16 times that of earth has the escape velocity of: 3v4\frac{3v}{4} 3v2\frac{3v}{2} 4v3\frac{4v}{3} 9v4\frac{9v}{4}

Multiple Choice Options

  • A v3\frac{v}{3} 3 v _
  • B 2v3\frac{2 v}{3} 3 2 v _
  • C 3v4\frac{3 v}{4} 4 3 v _
  • D 9v4\frac{9 v}{4} 4 9 v _

Step-by-Step Verified Solution

Escape velocity of object from planet is given by ( v e ) p = 2 G M p R p _ ( v e ) p _ M p R p Now, M p = 9 M e and R _ = 16 R e (given) ( v e ) p ( v e ) e = M p R p _ R e M e = 9 M e 16 R e _ R e M e = 9 16 = 3 4 _ ( v e ) p = 3 4 v

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