JEE Mains · Physics · STD 11 - 7. gravitation
A mass of \(50\, {kg}\) is placed at the centre of a uniform spherical shell of mass \(100\, {kg}\) and radius \(50 \,{m}\). If the gravitational potential at a point, \(25\, {m}\) from the centre is \({V} \,{kg} / {m} .\) The value of \({V}\) is
- A \(-\,60G\)
- B \(+\,2G\)
- C \(-\,20G\)
- D \(-\,4G\)
Answer & Solution
Correct Answer
(D) \(-\,4G\)
Step-by-step Solution
Detailed explanation
\({V}_{{A}} =\left[-\frac{{GM}_{1}}{{r}}-\frac{{GM}_{2}}{{R}}\right]\) \(=\left[-\frac{50}{25} {G}-\frac{100}{50} {G}\right]\) \(=-4\, {G}\)
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