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(D) The motional electromotive force $(EMF)$ induced in a conductor moving in a magnetic field is given by the formula $\varepsilon = (\vec{v} 	imes

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$M$

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(D) The motional electromotive force $(EMF)$ induced in a conductor moving in a magnetic field is given by the formula $\varepsilon = (\vec{v} 	imes \vec{B}) \cdot \vec{l}$.For an induced potential difference to exist,the velocity of the conductor $\vec{v}$,the magnetic field $\vec{B}$,and the length of the conductor $\vec{l}$ must be mutually perpendicular.In the given diagram,the magnetic field $\vec{B}$ is directed from the North $(N)$ pole to the South $(S)$ pole (along the $L-Q$ axis).The length of the conductor is along the axis perpendicular to the page.To induce an $EMF$,the velocity $\vec{v}$ must be perpendicular to both $\vec{B}$ and the length of the conductor.Moving the conductor in direction $M$ (upward) or $P$ (downward) satisfies the condition of being perpendicular to the magnetic field lines ($L-Q$ direction) and the length of the conductor.However,looking at the standard orientation of such problems,direction $M$ is the most appropriate choice to ensure the motional $EMF$ is generated across the ends of the conductor.

Column-$I$	Column-$II$
$A$. National Botanical Research Institute	$I$. Carolus Linnaeus
$B$. Indian Botanical Garden	$II$. Taxon
$C$. Binomial Nomenclature	$III$. Howrah (India)
$D$. $A$ unit of Classification	$IV$. Lucknow

An electric potential difference will be induced between the ends of the conductor shown in the diagram when the conductor moves in the direction:

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