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Physics-

General

Easy

Question

A rectangular, a square, a circular and an elliptical loop, all in the $left parenthesis x minus y right parenthesis$ plane, are moving out of a uniform magnetic field with a constant velocity $stack V with rightwards arrow on top equals v blank stack i with rightwards arrow on top$ . The magnetic field is directed along the negative $z$ -axis direction. The induced $e m f$ , during the passage of these loops, out of the field region, will not remain constant for

The rectangular, circular and elliptical loops
The circular and the elliptical lops
Only the elliptical loop
Any of the four loops

The correct answer is: The circular and the elliptical lops

$open vertical bar e close vertical bar equals fraction numerator d ϕ over denominator d t end fraction equals fraction numerator B d A over denominator d t end fraction$
Now, as the square loop and rectangular loop move out of magnetic field, $fraction numerator d A over denominator d t end fraction$ is constant, therefore $vertical line e vertical line$ is constant. But in case of circular and elliptical loops, $fraction numerator d A over denominator d t end fraction$ changes. Therefore, $vertical line e vertical line$ does not remain constant

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