Initial magnetic flux is $\Phi_{Initial} = BA \cos \theta$

$\Phi_{Initial} = 3.0 \times 10^{-5} \times (\pi \times 10^{-2}) \cos 0^{\circ}$

$\Phi_{Initial} = 3.0\;\pi \times 10^{-7} Wb$

Final magnetic flux $\Phi_{Final} = 3.0 \times 10^{-5} \times (\pi \times 10^{-2}) \cos 0^{\circ}$

The magnitude of the induced emf is given by $\varepsilon = N \large \frac{\Delta \Phi} {\Delta t} $

$\Rightarrow$ Estimated value of induced emf $ = \varepsilon = N \large \frac{\Delta \Phi} {\Delta t} $

$\varepsilon =500 \large\frac{ 6\pi \times 10^{-7}}{0.25}$$=3.8 \times 10^{-3} V$

Magnitude of Current $I = \large\frac{\varepsilon}{R}$

$I = 1.9 \times 10^{-3} A$