Two metallic rings A and B , identical in shape and size but having different resistivities ρ A and ρ B , are kept on top of two identical solenoids as shown in the figure. When current I is switc

Question

Two metallic rings A and B , identical in shape and size but having different resistivities ρ A ​ and ρ B ​ , are kept on top of two identical solenoids as shown in the figure. When current I is switched on in both the solenoids in identical manner, the rings A and B jump to heights h A ​ and h B ​ , respectively, with h A ​ > h B ​ . The possible relation(s) between their resistivities and their masses m A ​ and m B ​ is(are)

TestHub · Accepted Answer

Induced emf e = − d t d ϕ . For identical rings induced emf will be same. But currents will be different. Given h A > h B . Hence, v A > v B as ( h = 2 g v 2 ) . If ρ A > ρ B , then, I A < I B . In this case given condition can be fulfilled if m A < m B . If ρ A < ρ B , then I A > I B . In this case given condition can be fulfilled of m A ≤ m B .

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