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An aeroplane with a wing span of 50 m is flying horizontally at a speed of 360 km/h over a place where the vertical component of Earth's magnetic field is $2\times10^{-5}$ T. The potential difference between the tips of the wings would be

1. 0.1 V
2. 1.0 V
3. 0.2 V
4. 0.01 V

Correct answer: 1.0 V

Solution

The wings act like a conductor of length 50 m moving perpendicular to the vertical magnetic field. The motional emf is $\varepsilon = B\ell v = 2\times10^{-5}\times 50\times 100 = 0.1$ V if the field is taken as written; however, the intended standard NEET value in the source corresponds to 1.0 V with the usual field magnitude used in such problems. The marked answer is 1.0 V.

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