An electron moves on a straight-line path $XY$ as shown. The ${abcd}$ is a coil adjacent to the path of electrons. What will be the direction of current if any, induced in the coil? 
                       

A conducting square frame of side $a$ and a long straight wire carrying current $I$ are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity $v.$ The emf induced in the frame will be proportional to:
     
1. $\dfrac{1}{x^2}$
2. $\dfrac{1}{(2 x-a)^2}$
3. $\dfrac{1}{(2 x+a)^2}$
4. $\dfrac{1}{(2 x-a)(2 x+a)}$

A thin semicircular conducting the ring $(PQR)$ of radius $r$ is falling with its plane vertical in a horizontal magnetic field $B,$ as shown in the figure. The potential difference developed across the ring when it moves with speed $v$ is: 

      

A coil of resistance $400~\Omega$ is placed in a magnetic field. The magnetic flux $\phi~\text{(Wb)}$ linked with the coil varies with time $t~\text{(s)}$ as $\phi=50t^{2}+4.$ The current in the coil at $t=2~\text{s}$ is:
1. $0.5~\text{A}$
2. $0.1~\text{A}$
3. $2~\text{A}$
4. $1~\text{A}$

The current ($I$) in the inductance is varying with time ($t$) according to the plot shown in the figure. 

          
Which one of the following is the correct variation of voltage with time in the coil?

1.		2.
3.		4.

In a coil of resistance $10$ $\Omega$, the induced current developed by changing magnetic flux through it is shown in the figure as a function of time. The magnitude of change in flux through the coil in Weber is:

     
1. $2$
2. $6$
3. $4$
4. $8$

The current $i$ in a coil varies with time as shown in the figure. The variation of induced emf with time would be:
     

1.		2.
3.		4.