Electromagnetic Induction question bank (Physics)

A $30$ cm long solenoid has $10$ turns per cm and area of $5$ cm$^2$. The current through the solenoid coil varies from $2$ A to $4$ A in $3.14$ s. The e.m.f. induced in the coil is $\alpha\times 10^{-5}$ V. The value $\alpha$ is ________.

A square loop of side $2$ cm is placed in a time varying magnetic field with magnitude as $B = 0.4\sin(300t)$ Tesla. The normal to the plane of loop makes an angle of $60°$ with the field. The maximum induced emf produced in the loop is __________ mV.