A circular ring of diameter $20 \mathrm{cm}$ has a resistance $0.01 \mathrm{\Omega }$. How much charge will flow through the ring, if it is rotated from a position perpendicular to a uniform magnetic field of $B=2 \mathrm{T}$ to a position parallel to field?

The magnetic flux $\varphi$ (in weber) in a closed circuit of resistance $10 \mathrm{\Omega }$ varies with time $t$ (in second) according to equation $\varphi =6t^2-5t+1$. The magnitude of induced current at $t=0.25 \mathrm{s}$ is

A small, conducting circular loop is placed inside a long solenoid carrying a current. The plane of the loop contains the axis of the solenoid. If the current in the solenoid is varied, the current induced in the loop is

The north pole of a magnet is brought near a metallic ring as shown in the figure. The direction of the induced current in the ring will be