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Assertion (A): The induced e.m.f. and current will be same in two identical loops of copper and aluminium when rotated with same speed in the same magnetic field.

Reason (R): Induced e.m.f. is proportional to rate of change of magnetic field while induced current depends on resistance of wire.

A
Both (A) and (R) are true, and (R) is the correct explanation of (A)
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B
Both (A) and (R) are true, but (R) is not the correct explanation of (A)
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C
(A) is true but (R) is false
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D
(A) is false but (R) is true
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Solution

The correct option is D (A) is false but (R) is true
As we know, induced e.m.f. e=dϕdt

Flux linkage with a coil is independent of the material. So emf will be same as the loops are identical in shape.

But induced current

iind=(dϕdt)R=eR

And R=ρlA [it depends on the property of the material.]

Hence, induced current will depend upon the material because Resistivity (ρ) is material dependent.

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (D) is the correct answer.

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