JEE Main 2023 · 25 January · evening · Single correct · +4 / −1
Statement I : When a Si sample is doped with Boron, it becomes P type and when doped by Arsenic it becomes N-type semi conductor such that P-type has excess holes and N-type has excess electrons.
Statement II : When such P-type and N-type semi-conductors, are fused to make a junction, a current will automatically flow which can be detected with an externally connected ameter.
In the light of above statements, choose the most appropriate answer from the options given below
- (a) Statement I is incorrect but statement II is correct
- (b) Both Statement I and statement II are correct
- (c) Statement I is correct but statement II is incorrect
- (d) Both Statement I and Statement II are incorrect
Answer and solution
Answer (c) Statement I is correct but statement II is incorrect
Solution
Physics sir · 4 steps
Doping is fine, but a junction left alone settles into balance, so the ammeter reads zero.
- Check Statement I. Boron is trivalent, so each B atom leaves one bond short of an electron, which creates a hole. That gives a p-type semiconductor. Arsenic is pentavalent, so each As atom donates one extra electron, which gives n-type. Statement I is correct.
- Junction formation. When p and n are joined, holes diffuse into the n side and electrons into the p side for a very short time. This leaves fixed ions behind, forming a depletion layer with a barrier potential V₀.
- Equilibrium. The field of this layer drives a drift current opposite to the diffusion current. They quickly become equal, so the net current is I_(diff) - I_(drift) = 0. The barrier potential also cannot push current through an external wire, because the contact potentials at the metal leads cancel it.
- So. No steady current flows and an external ammeter shows nothing, so Statement II is incorrect. Statement I is correct and Statement II is incorrect, which is option (c).
The idea to keep. An unbiased p-n junction is in equilibrium: diffusion and drift currents cancel. You need an external battery, light or heat to get a net current out of it.
Answer from the NTA final answer key. Solution by PrepWiser.