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Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)

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Answer Text

<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PRE_GRG_PHY_XI_V02_C06_E02_045_O01.png" width="30%"><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PRE_GRG_PHY_XI_V02_C06_E02_045_O02.png" width="30%"><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PRE_GRG_PHY_XI_V02_C06_E02_045_O03.png" width="30%"><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PRE_GRG_PHY_XI_V02_C06_E02_045_O04.png" width="30%">

Answer :
B
Solution :
Gravitational field due to the thin spherical shell.<br>Inside the shell, F = 0 (for `rltR`)<br>On the surface of the shell,<br>`F=(GM)/(r^2)` (for r = R)<br>Outside the shell,<br>`F=(GM)/(r^2)` (for `rgtR`)<br>The variation of F with distance r from the centre is as shown in the figure (b).

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