Q .     A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as `B =B_0e^{-t/\tau}`, where `B_0` and `\tau` are constants, at time `t = 0`. If the resistance of the loop is R then the heat generated in the loop after a long time (`t \rightarrow \infty`) is

JEE 2016 Mains 10 April
A

`\ frac{\pi^2r^4B^4_0}{2\tau R}`

B

`\ frac{\pi^2r^4B^2_0}{2\tau R}`

C

`\ frac{\pi^2r^4B^2_0R}{\tau}`

D

`\ frac{\pi^2r^4B^2_0}{\tau R}`

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