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  • In a certain region of space electric field <img alt="\mathrm{\underset{E}{\rightarrow}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Cunderset%7BE%7D%7B%5Crightarrow%7D%7D"

In a certain region of space electric field \mathrm{\underset{E}{\rightarrow}} and magnetic field \mathrm{\underset{B}{\rightarrow}}  are perpendicular to each other and an electron enters in region perpendicular to the direction of \mathrm{\underset{B}{\rightarrow}} and \mathrm{\underset{E}{\rightarrow}} both and moves undeflected, then velocity of electron is

Option: 1

\frac{|\overrightarrow{\mathrm{E}}|}{|\overrightarrow{\mathrm{B}}|}


Option: 2

\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}


Option: 3

\frac{|\overrightarrow{\mathrm{B}}|}{|\overrightarrow{\mathrm{E}}|}


Option: 4

\overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{B}}


Answers (1)

best_answer

Electron moves undeflected if force exerted due to electric field is equal to force due to magnetic field.
\mathrm{q}|\overrightarrow{\mathrm{v}}||\overrightarrow{\mathrm{B}}|=q|\overrightarrow{E}| \Rightarrow|\overrightarrow{\mathrm{v}}|=\frac{|\overrightarrow{\mathrm{E}}|}{|\overrightarrow{\mathrm{B}}|}

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