NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Gravitation
NEET · Physics · Gravitation
Two concentric spherical shells of non-zero masses are as shown in...
Two concentric spherical shells of non-zero masses are as shown in the figure :-
| Column I | Column II | ||
| (A) | Potential at A | (P) | Greater than B |
| (B) | Gravitational field at A | (Q) | Less than B |
| (C) | As one moves from C to D | (R) | Potential remains constant |
| (D) | As one moves from D to A | (S) | Gravitational field decreases |
| (T) | Data insufficient |
Options
- A(A) (\rightarrow) P; (B) (\rightarrow) Q; (C) (\rightarrow \mathrm{R}); (D) (\rightarrow \mathrm{S})
- B(A) (\rightarrow) Q; (B) (\rightarrow) T; (C) (\rightarrow \mathrm{R}); (D) (\rightarrow \mathrm{S})
- C(A) (\rightarrow) P; (B) (\rightarrow) Q; (C) (\rightarrow) S; (D) (\rightarrow \mathrm{R})
- D(A) (\rightarrow) Q; (B) (\rightarrow) P; (C) (\rightarrow) S; (D) (\rightarrow \mathrm{R})
Correct answer
B. (A) (\rightarrow) Q; (B) (\rightarrow) T; (C) (\rightarrow \mathrm{R}); (D) (\rightarrow \mathrm{S})
Step-by-step solution
(A) (\mathrm{U}_{\mathrm{A}}=-\frac{\mathrm{Gm}_1}{\mathrm{r}_1}-\frac{\mathrm{Gm}_2}{\mathrm{R}_2} ; \mathrm{U}_{\mathrm{B}}=-\frac{\mathrm{Gm}_1}{\mathrm{r}_2}-\frac{\mathrm{Gm}_2}{\mathrm{r}_2} \mathrm{U}_{\mathrm{A}} < \mathrm{U}_{\mathrm{B}}) (B) (I_{\mathrm{A}}=\frac{\mathrm{Gm}_1}{\mathrm{r}_1^2} ; _{\mathrm{B}}=\frac{\mathrm{G}\left(\mathrm{m}_1+\mathrm{m}_2\right)}{\mathrm{r}_2^2}) Can't compare as data is insufficient. (C) (\mathrm{U}_{\mathrm{C}}=-\frac{\mathrm{Gm}_1}{\mathrm{R}_1}-\frac{\mathrm{Gm}_2}{\mathrm{R}_2} ; \mathrm{U}_{\mathrm{D}}=-\frac{\mathrm{Gm}_1}{\mathrm{R}_1}-\frac{\mathrm{Gm}_2}{\mathrm{R}_2}) remains same (D) )$