Question

A circular loop of conducting wire of $1cm$ is cut at a point $A$ on its circumference. It is then folded along a diameter through $A$ such that two semicircular loops lie in two mutually perpendicular planes. In this region a uniform magnetic field $\overrightarrow{B}$ of magnitude $100mT$ is directed perpendicular to the diameter through $A$ and makes, an angle of ${30}^{\circ }$ and ${60}^{\circ }$ with the planes of the two semicircles. The magnetic field reduces at a uniform rate from $100mT$ to zero in a time interval of $4.28ms$, therefore,

• A. instantancous emf in the two loops are in the ratio $\sqrt{2}:1$
• B. instantaneous emf in the two loops are in the ratio $\sqrt{3}:1$
• C. the total emf between free ends at point A is $5mV$
• D. the total emf between free ends at point A is $1.4mV$

Answer 1

Answer: (B), (C)

The correct options are
B instantaneous emf in the two loops are in the ratio $\sqrt{3}:1$
C the total emf between free ends at point A is $5mV$