There is a small hole in a spherical shell of mass M and radius R. A particle of mass m is dropped from point A as shown . Match the two columns for the situation shown in figure.
| 1 | Potential energy from A to B | A | Continuously increases |
| 2 | Potential energy from B to C | B | Continuously decreases |
| 3 | Speed of particle from B to C | C | First increases then remains constant |
| 4 | Acceleration of particle from A to C | D | None of these |
Answer & explanation
Correct answer: option 1
\(U(r) = -\frac{GMm}{R}\) for r \(\geq\) r
thus, decreases continuously from A to B.
Speed from B to C remains constant. c → s As between B to C there is no field, So acceleration becomes zero and it increases from A to B. d → r