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(D) The force on a moving charge in a magnetic field is given by the Lorentz force formula: $\vec{F} = q(\vec{v} 	imes \vec{B})$.Here,the charge of t

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South

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(D) The force on a moving charge in a magnetic field is given by the Lorentz force formula: $\vec{F} = q(\vec{v} 	imes \vec{B})$.Here,the charge of the electron is negative $(q = -e)$.The velocity $\vec{v}$ is towards the east (let this be the $+x$ direction).The magnetic field $\vec{B}$ is vertically downward (let this be the $-z$ direction).Using the cross product: $\vec{v} 	imes \vec{B} = (v \hat{i}) 	imes (-B \hat{k}) = -vB(\hat{i} 	imes \hat{k}) = -vB(-\hat{j}) = vB \hat{j}$ (which is North).Since the electron has a negative charge,the force $\vec{F} = -e(vB \hat{j}) = -evB \hat{j}$.The direction $-\hat{j}$ corresponds to the South direction.Therefore,the force on the electron is towards the South.

An electron is travelling horizontally towards the east. $A$ magnetic field in the vertically downward direction exerts a force on the electron along:

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