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JEE Advanced 2021 Paper 1

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Question : 15

Total: 57

A long straight wire carries a current, I=2 ampere. A semicircular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the ceils are parallel to the wire. The wire, the rod and the rails ie in the same horizontal plane, as shown in the figure.
Two ends of the semi-circular rod are at distances 1cm and 4cm from the wire. At time t=0, the rod starts moving on the rails with a speed v=3.0m∕s (see the figure).
A resistor R=1.4Ω and a capacitor C0=5.0µF are connected in series between the rails. At time t=0,C0 is uncharged. Which of the following statement(s) is(are) correct?
[µ0=4π×10−7 SI units. Take ln‌2=0.7]

Maximum current through R is 1.2×10−6 ampere
Maximum current through R is 3.8×10−6 ampere
Maximum charge on capacitor C0 is 8.4×10−12 coulomb
Maximum charge on capacitor C0 is 2.4×10−12 coulomb

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