1.

The figure represents a solid uniform sphere of mass `M` and radius `R`. A spherical cavity of radius `r` is at a distance a from the centre of the sphere. The gravitational field inside the cavity is A. non - uniformB. towards the center of the cavityC. directly proportional to `a`D. All of these

Answer» Correct Answer - C
Gravitational field at any point inside the cavity is uniform (both in magnitude as well as direction). So, let us find its value at centre of cavity .
`E_(R ) = E_(T) - E_(C)` (at centre of cavity)
`R rarr `Remaining, `T rarr` total, `C rarr` cavity
`E_(R ) = E_(T)` (as `E_(C) = 0)`
`= ((GM)/(R^(3))) a` or `E_(R) prop a`


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