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Consider two different metallic strips (1 and 2) of same dimensions (length l , width w and thickness d) with carrier densities n 1 and n 2 , respectively. Strip 1 is placed in magnetic field B 1 and strip 2 is placed in magnetic field B 2 , both along positive y-directions. Then V 1 and V 2 are the potential differences developed between K and M in strips 1 and 2, respectively. Assuming that the current I is the same for both the strips, the correct option(s) is(are)

1. If B 1 = B 2 and n 1 = 2n 2 , then V 2 = 2V 1
2. If B 1 = B 2 and n 1 = 2n 2 , then V 2 = V 1
3. If B 1 = 2B 2 and n 1 = n 2 , then V 2 = 0.5V 1
4. If B 1 = 2B 2 and n 1 = n 2 , then V 2 = V 1

Correct answer: If B 1 = B 2 and n 1 = 2n 2 , then V 2 = 2V 1

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