Assertion :The escape velocity from the surface of Jupiter is less than that from the earth's surface Reason: The radius of Jupiter is smaller than earth

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is D Both Assertion and Reason are incorrect
The escape velocity on the earth surface is $v_{e} = \sqrt{2 g R}$ where $g =$ acceleration due to gravity on earth's surface and $R =$ radius of the earth.
We know that the radius of Jupiter is 11 times of the earth's radius and acceleration due to gravity on the surface of Jupiter is around 2.36 times of acceleration due to gravity on earth's surface. Thus, the escape velocity from the Jupiter is more than that from earth's surface.

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