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A boat is moving due east in a region where the earth’s magnetic field is $5.0 \times 10^{- 5} N A^{- 1} m^{- 1}$ due north and horizontal. The boat carries a vertical aerial 2 m long. If the speed of the boat is 1.50 ms^-1, the magnitude of the induced emf in the wire of aerial is

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0.50 mV

0.75 mV

0.15 mV

1 mV

answer is D.

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Detailed Solution

$B_{H} = 5 \times 10^{- 5} {NA}^{- 1} m^{- 1}$

$ℓ = 2 m and v = 1.5 {ms}^{- 1}$

$e = B_{H} l v = 5 \times 10^{- 5} \times 1.5 \times 2$

$= 15 \times 10^{- 5} = 0.15 mV$

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