The $\mathrm{I}-\mathrm{V}$ characteristics of a $p-n$ junction diode in forward bias is shown in the figure. The ratio of dynamic resistance, corresponding to forward bias voltage of $2 \mathrm{V}$ and $4 \mathrm{V}$ respective is

As per the given circuit, the value of current through the battery will be _____ A.

Identify the correct Logic Gate for the following output $\left(Y\right)$ of two inputs $A$ and $B$.

The height of a transmitting antenna at the top of a tower is $25 \mathrm{m}$ and that of receiving antenna is, $49 \mathrm{m}$. The maximum distance between them, for satisfactory communication in LOS (Line of Sight) is $K\sqrt{5}\times {10}^2 \mathrm{m}$. The value of $K$ is _____ .

(Assume radius of Earth is $64\times {10}^5 \mathrm{m}$) [Calculate upto nearest integer value]

The cut-off voltage of the diodes (shown in figure) in forward bias is $0.6 \mathrm{V}$. The current through the resister of $40\mathrm{\Omega }$ is _____ $\mathrm{mA}$.

In the following circuit, the correct relation between output $\left(Y\right)$ and inputs $A$ and $B$ will be