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The escape velocity from the Earth's surface is v . The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is:

Option 1 -

v

Option 2 -

2 v

Option 3 -

3 v

Option 4 -

4 v

0 2 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 months ago
    Correct Option - 4


    Detailed Solution:

    v e = 2 G M R = 2 G R × 4 3 π R 3 ρ

    = 8 π G ρ 3 R 2

    ⇒ v e ∝ R

    ⇒ v e v = 4 R R ⇒ v e = 4 v

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