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Magnetic Flux & Faraday's Law question from JEE Main 2017

Q75JEE Main 2017Easy

Magnetic Flux & Faraday's Law

In a coil of resistance 100 $\Omega$ , a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is:

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Answer: (d)

Charge $q$ = area under the $I$ – $t$ graph $= \frac{1}{2} \times 10 \times 0.5 = 2.5$ C.
$q = \frac{\Delta\phi}{R} \Rightarrow \Delta\phi = qR$
$\Delta\phi = 2.5 \times 100 = 250$ Wb
So the answer is (d) 250 Wb.

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