In a region of free space, where a uniform and constant electric field of intensity $\vec{E}$ and a magnetic field of induction $\vec{B}$ coexist, an electron projected with speed v in the positive $x -$ direction, moves undeviated without change in speed. In addition, an electron projected with velocity v in the positive y-direction in this region; also, moves undeviated without change in speed. Which of the following conclusions can you make?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

$| \vec{E} | = v | \vec{B} |$

$| \vec{E} | < v | \vec{B} |$

The magnetic field is either at $45^{0}$ or $135^{0}$ with the positive x-direction

The electric field is perpendicular to the x-y plane

answer is A, C, D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$\bar{E} + \bar{V} \times \bar{B} = \bar{0} \Rightarrow \bar{E}$ is $⊥^{r}$ to plane of $\bar{V} & \bar{B}$

$\begin{array}{l} is a long X - axis is in Y - Z plane \\ is a long Y - axis is in X - Z plane \end{array}} \Rightarrow \bar{E} i s a l o n g z - a x i s (⊥^{r} t o x - y p l a n e)$

$∴ \tan θ = 1 \Rightarrow θ = \frac{π}{4}, \frac{3 π}{4}$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE