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The horizontal component of the earth's ...

The horizontal component of the earth's magnetic field at a place is `3xx10^(-4)T` and the dip is `tan^(-1)((4)/(3))`. A metal rod of length `0.25m` placed in the north -south position and is moved at a constant speed of `10cm//s` towards the east. The emf induced in the rod will be

A

zero

B

`1muV`

C

`5muV`

D

`10muV`

Text Solution

Verified by Experts

The correct Answer is:
D

Road is moving towards east, so induced emf across its end will be `e=B_(v)vl=(B_(H)"tan")vl`
`:. e=3xx10^(-4)xx(4)/(3)xx(10xx10^(-2))xx0.25=10^(-5)V=10muV`
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Knowledge Check

  • The value of horizontal component of earths magnetic field at a place is 0.35 xx 10 ^(-4)T. If the angle of dip is 60^(@), the value of vertical component of earths magnetic field is nearly

    A
    `0.1 xx 10^(-4)T`
    B
    `0.2xx 10 ^(-4)T`
    C
    `0.4 xx 10 ^(-4)T`
    D
    `0.61 xx 10 ^(-4)T`
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    A
    `0.23xx10^(-4) Wb//m^(2)`
    B
    `0.46xx10^(-4) Wb//m^(2)`
    C
    `0.58xx10^(-4) Wb//m^(2)`
    D
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  • At a plane the value of horizontal component of the eart's magnetic field H is 3xx10^(-5)weber//m^(2) . A metallic rod AB of length 2m placed in east-west direction, having the end A towards east, falls vertically downward with a constant velocity of 50 m//s . which end of the rod becomes positively charged and what is the value of induced potential difference between the two ends?

    A
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    B
    `End A,3 mV`
    C
    `End B,3xx10^(-3) mV`
    D
    `End B,3mV`
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