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Q.

The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first

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a

b > (d = e) < (a = c)

b

b < d < e < c < a

c

b > (d = e) > (a = c)

d

b > (a = c) > (d = e)

answer is B.

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Detailed Solution

Induced emf $e = A\frac{{dB}}{{dt}}$
i.e. $e \propto \frac{{dB}}{{dt}}$ (= slope of B – t graph)
Question Image
In the given graph slope of AB > slope of CD, slope in the ‘a’ region = slope in the ‘c’ region = 0, slope in the ‘d’ region = slope in the ‘e’ region $\neq$ 0 . That’s why $b > (d = e) > (a = c)$

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The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first