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(C) The induced $emf$ in a loop is given by Faraday's law: $emf = -\frac{d\phi}{dt}$,where $\phi = B A \cos	heta$.$(a)$ If the loop is translated in

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$c, d$

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(C) The induced $emf$ in a loop is given by Faraday's law: $emf = -\frac{d\phi}{dt}$,where $\phi = B A \cos	heta$.$(a)$ If the loop is translated in a uniform magnetic field,the magnetic flux $\phi$ remains constant,so no $emf$ is induced.$(b)$ If the loop is rotated about its axis,the angle $	heta$ between the area vector and the magnetic field remains constant,so $\phi$ does not change. No $emf$ is induced.$(c)$ If the loop is rotated about a diameter,the angle $	heta$ changes with time,causing the flux $\phi$ to change. Thus,an $emf$ is induced.$(d)$ If the loop is deformed,its area $A$ changes,which causes the flux $\phi$ to change. Thus,an $emf$ is induced.Therefore,an $emf$ is induced in cases $(c)$ and $(d)$.

$A$ conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An $emf$ is induced in the loop if:
$(a)$ It is translated (inside the field)
$(b)$ It is rotated about its axis
$(c)$ It is rotated about a diameter
$(d)$ It is deformed

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$A$ conducting loop is placed in a uniform magnetic field with its plane perpendicular to the field. An $emf$ is induced in the loop if:$(a)$ It is translated (inside the field)$(b)$ It is rotated about its axis$(c)$ It is rotated about a diameter$(d)$ It is deformed