A long solenoid of radius R carries a time $(t)$ dependent current $\mathrm{I}(\mathrm{t})=\operatorname{lot}(1-\mathrm{t})$. A ring of radius $2 R$ is placed coaxially near its middle. During the time interval $0 \leq \mathrm{t} \leq 1$, the induced current ( $\mathrm{I}_{\mathrm{R}}$ ) and the induced $\operatorname{EMF}\left(V_R\right)$ in the ring change as: