Electromagnetic Induction

Hint: Recall the series combination of inductors.

Step: Find the inductance of the combination.
If two or more inductors are connected in series, then the current flowing through them will be the same, but the voltage difference across them will be different. Therefore, the inductance of the combination is \(L_{eff}=L_1+L_2.\)
Hence, option (1) is the correct answer.  
 

Hint: \(E = \frac{d(\phi)}{dt}\)

Step:

Find the induced emf in the coil.
The magnetic flux linked with a coil of wire having \(N\) turns and the area of the coil is \(A\), is given by;\(\phi = NBA\), where magnetic field is varying with time. 
Induced emf in the coil is given by \(E = \frac{d(NBA)}{dt} \Rightarrow E = NA \frac{dB}{dt}. \)
Hence, option (2) is the correct answer.