Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Semiconductors and Electronic Devices

Question:

The ratio of work function and temperature of two emitters are 1 : 2, then the ratio of current densities obtained by them will be

Options:

4 : 1

2 : 1

1 : 2

1 : 4

Correct Answer:

1 : 4

Explanation:

$\frac{J_1}{J_2}=\frac{AT_1^2e^{-W_1/kT_1}}{AT_2^2e^{-W_2/kT_2}}=(\frac{T_1}{T_2})^2e^{-\frac{W_1}{kT_1}+\frac{W_2}{kT_2}}=(\frac{1}{2})^2e^0=\frac{1}{4}$