Question
The figure shows an isosceles triangle wire frame with apex angle equal to $\pi /2$. The frame starts entering into the region of uniform magnetic field $B$ with constant velocity $v$ at $t= 0$. The longest side of the frame is perpendicular to the direction of velocity. If $i$ is the instantaneous current through the frame then choose the alternative showing the correct variation of $i$ with time.

Answer

The rate of change of area in the field starts from zero as the tip enters the field and grows linearly with time until it reaches the maximum value as the last slice enters; after that the whole loop is in the field so the flux through the loop is constant and there is no induced emf. hence the correct option is $(d)$

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