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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 × 10^–4 weber/m² and the rails are separated by 1 metre.

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10^–2 volt

10^–4volt

10^–3 volt

1 volt

answer is C.

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Detailed Solution

Given data:

Speed of train $v = 180 \frac{km}{hr}$

Earth’s magnetic field $B = 0.2 \times 10^{- 4}$

Rails are separated by a distance l= 1m

Concept used: Induced EMF

Detailed solution:

$E = Blv$

$E = (0.2 \times 10^{- 4}) (1) (180 \times \frac{5}{18})$

$E = 10^{- 3} V$

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