$($b$)$ As shown in Figure $2,$ a long and straight wire carries a current of $\backslash ($ I $\backslash ).$ A circular conducting wire is coplanar with the straight wire and moves upwards with velocity $\backslash (\backslash$overrightarrow$\{$V$\_\{1\}\}\backslash ).$ What is the direction of induced current flow in the circular wire? How will the magnitude and direction of the induced current change if the circular wire moves with velocity $\backslash (\backslash$overrightarrow$\{$V$\_\{2\}\}\backslash$left$($V$\_\{1\}=$V$\_\{2\}\backslash$right$)\backslash )?$ Explain your answer in detail.

$(13$ Marks$)$

$($c$)$ Compare a photon of frequency $\backslash (10^\{18\}\backslash$mathrm$\{$~Hz$\}\backslash )$ with an electron of kinetic energy $500$ eV $,$ both in vacuum. Which particle has greater momentum and why? Which particle travels at a greater speed and why? Explain your answers in detail.