Q 12-14-140JEE MainJEE Main 2021 (18 Mar, Shift 2)Easy
The correct relation between $\alpha$ (ratio of collector current to emitter current) and $\beta$ (ratio of collector current to base current) of a transistor is:
Answer: (D) $\alpha = \frac{\beta}{1+\beta}$
$I_E = I_B + I_C$. Dividing by $I_C$: $\dfrac1\alpha = \dfrac1\beta + 1 = \dfrac{1+\beta}{\beta}$, so $\alpha = \dfrac{\beta}{1+\beta}$.
Solution by Sreeraj P, M.Sc Physics