Assertion (A): Gravitational field of a uniform spherical shell outside it is same as that of particle of same mass placed at its centre of mass. Reason (R): For the calculation of gravitational force between any two uniform spherical shells, they can always be replaced by particles of same mass placed at respective centres.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false
Solution:
Assertion (A) is true as per Newton's Shell Theorem, a uniform spherical shell behaves like a point mass at its center for external points. Reason (R) is also true and is the basis for simplifying calculations of gravitational forces between spherical objects. Hence, (R) correctly explains (A).
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