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A boat is moving due east in a region wh...

A boat is moving due east in a region where the earth's magnetic field is `5.0xx10^(-5) NA^(-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 is

A

`1 mV`

B

`0.75 mV`

C

`0.50 mV`

D

`0.15 mV`

Text Solution

Verified by Experts

The correct Answer is:
D

`E_("ind")=Bxxvxxl`
`=5.0xx10^(-5)xx1.50xx2=10.0xx10^(-5)xx1.5 =15xx10^(-5) "vot." =0.15mv`
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