Test Academy | Two identical thin rings each of radius R are coaxially placed at a distance R. If the rings have a uniform mass distribution and each has mass m1 and m2 respectively, then the work done in moving a mass m from centre of one ring to that of the other is Zero, Gm(m1-m2)(√2-1)/R√2, Gm(m1-m2)√2/R, Gm1m2(1+√2)/Rm2

Question

Two identical thin rings each of radius R are coaxially placed at a distance R. If the rings have a uniform mass distribution and each has mass m1 and m2 respectively, then the work done in moving a mass m from centre of one ring to that of the other is

Options :

Zero
Gm(m1-m2)(√2-1)/R√2
Gm(m1-m2)√2/R
Gm1m2(1+√2)/Rm2

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