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The escape velocity from the surface of the earth is ve.The escape velocity from the surface of a planet whose mass and radius are three times those of the earth, will be [1995]
  • a)
    ve
  • b)
    3ve
  • c)
    9ve
  • d)
    1/3ve
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The escape velocity from the surface of the earth is ve.The escape vel...
Escape velocity on surface of earth
or,   vP= ve.
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Most Upvoted Answer
The escape velocity from the surface of the earth is ve.The escape vel...
Explanation:

Given:
- Mass of the planet, M' = 3M (where M is the mass of the Earth)
- Radius of the planet, R' = 3R (where R is the radius of the Earth)

Escape velocity:
Escape velocity, ve = √(2GM/R), where G is the universal gravitational constant

Calculating escape velocity for the planet:
- Escape velocity for the planet, ve' = √(2G(3M)/(3R))
- ve' = √(2GM/R)
- ve' = ve

Conclusion:
The escape velocity from the surface of a planet whose mass and radius are three times those of the Earth will be the same as the escape velocity from the surface of the Earth, which is ve. Therefore, the correct answer is option 'A' - ve.
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The escape velocity from the surface of the earth is ve.The escape velocity from the surface of a planet whose mass and radius are three times those of the earth, will be [1995]a)veb)3vec)9ved)1/3veCorrect answer is option 'A'. Can you explain this answer?
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