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Inside a uniform sphere of density `rho` there is a spherical cavity whose centre is at a distance `l` from the centre of the sphere. Find the strength of the gravitational field inside the cavity.A. `E=(-2)/3 piGrhol`B. `E=(-4)/3piGrhol`C. `E=(-4)/3pi^(2)Grhol`D. `E=(-4)/3piGrho^(2)l^(2)` |
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Answer» Correct Answer - B Let `E`= gravitational field at `x` due to the complete sphere `E_(1)`= field due to hole and `E_(2)`=field due to the remanning portion `E=E_(1)+E_(2) :. E_(2)=E-E_(1).....(i)` `=(GM)/(x^(2))-(Gm)/((x-R/2)^(2))` Here ,`M=4/3piR^(3)rho_(0)` and `m=4/3(R/2)^(3).rho_(0)` |
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