Hall effect — CSIR Net PYQ (Question 4)

A Hall effect previous-year question (PYQ) from Solid State Physics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 4 of 4 · 5.0 marks

A thin rectangular conducting plate of length $a$ and width $b$ is placed in the $xy$ -plane in two different orientations, as shown in the figures below. In both cases a magnetic field $B$ is applied in the $z$ -direction and a current flows in the $x$ direction due to the applied voltage $V$. If the Hall voltage across the $y$ -direction in the two cases satisfy $V_2=2V_1$, the ratio $a:b$ must be

1. 1$1:2$
2. 2$1:\sqrt{2}$
3. 32:1
4. 4$\sqrt{2}:1$

Correct answer: Option 4

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