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Two rails of a railway track insulated from each other and the ground are connected to a milli voltmeter. What is the reading of voltmeter, when a train travels with a speed of 180 km/hr along the track. Given that the vertical component of earth's magnetic field is $0.2 \times 10^{- 4} weber / m^{2}$ and the rails are separated by 1 metre.

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$10^{- 2} volt$

$10^{- 4} volt$

$10^{- 3} volt$

$1 volt$

answer is C.

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Detailed Solution

$v = 180 k m p h = 180 \times \frac{5}{18} = 50 m / s$

$B_{v} = 0.2 \times 10^{- 4} T, l = 1 m$

$e = B l v = 2 \times 10^{- 5} \times 1 \times 50 = 10^{- 3} V$

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