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प्रश्न
Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of escape velocity `"V"_"A"/"V"_"B"` is ______.
विकल्प
2
`sqrt2`
`1/sqrt2`
`1/2`
MCQ
रिक्त स्थान भरें
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उत्तर
Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of escape velocity `"V"_"A"/"V"_"B"` is 2.
Explanation:
ve = `sqrt((2 "GM")/"R")`
= `sqrt((2"G")/"R" xx 4/3 π"R"^3ρ)`
`"v"_"e" ∝ "R"`
`"V"_"A"/"V"_"B" = "R"_"A"/"R"_"B" = 2/1`
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