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Electromagnetic Induction question

2016 · 10 Apr · Shift 1 · Q54
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Electromagnetic Induction question

2016 · 10 Apr · Shift 1 · Q54

JEE MainPhysicsElectromagnetic InductionMCQ+4 / −1
A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as B = B0e −tr{^{{{ - t} \over r}}}r−t​, where B0 and τ\tauτ 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 →∞\to \infty→∞) is :
  1. A
    π2r4B042τR{{{\pi ^2}{r^4}B_0^4} \over {2\tau R}}2τRπ2r4B04​​
  2. B
    π2r4B022τR{{{\pi ^2}{r^4}B_0^2} \over {2\tau R}}2τRπ2r4B02​​
  3. C
    π2r4B02Rτ{{{\pi ^2}{r^4}B_0^2R} \over \tau }τπ2r4B02​R​
  4. D
    π2r4B02τR{{{\pi ^2}{r^4}B_0^2} \over {\tau R}}τRπ2r4B02​​
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