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Q.

A) The gravitional field strength due to a circular ring of mass M and radius R at its center is Zero
B) The gravitional field strength due to a circular ring is maximum at a distance R/2 on its axis from the center of the ring. Then

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a

Both A and B are incorrect

b

A is incorrect, B is Correct

c

A is Correct , B is incorrect

d

A and B are Correct

answer is B.

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Detailed Solution

(A) The gravitational field strength of circular ring at a distance r on its axis from the center is given by $E = \frac{GMr}{{(r^{2} + R^{2})}^{3 / 2}}$
At the center of the ring, r = 0, $∴ E = 0$
(B) when E is maximum, $\frac{dE}{dr} = 0$
After simplification, $r = \frac{R}{\sqrt{2}} but not r = \frac{R}{2}$

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