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Gravitational acceleration on the surfac...

Gravitational acceleration on the surface of a planet is `(sqrt6)/(11)g.` where g is the gravitational acceleration on the surface of the earth. The average mass density of the planet is `(2)/(3)` times that of the earth. If the escape speed on the surface of the earht is taken to be `11 kms^(-1)` the escape speed on the surface of the planet in `kms^(-1)` will be

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The correct Answer is:
3

`(g')/g=(sqrt(6))/11, (rho')/rho=2/3=(R')/R=(3sqrt(6))/22`
`(v_(esc)^('))/(v_(esc))propsqrt((R^('2)rho')/(R^2rho))=3/11impliesv_(esc)^(')=3km//s`
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