WBJEE · Physics · Magnetic Effects of Current
A particle with charge \(q\) moves with a velocity \(v\) in a direction perpendicular to the directions of uniform clectric and magnetic ficlds, \(E\) and \(B\) respectively, which are mutually perpendicular to each other. Which one of the following gives the condition for which the particle moves undeflected in its original trajectory? 
- A \(v=\frac{E}{B}\)
- B \(v=\frac{B}{E}\)
- C \(v=\sqrt{\frac{E}{B}}\)
- D \(v=q \frac{B}{E}\)
Answer & Solution
Correct Answer
(A) \(v=\frac{E}{B}\)
Step-by-step Solution
Detailed explanation
According to the question, Charge on particle is \(=q\) Velocity of particle \(=v\) Due to uniform electric field, electric force on particle \(F_{\text {electric }}=q E\) Due to a uniform magnetic field, magnetic force on particle is given by,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- \(1.56 \times 10^5 \mathrm{~J}\) of heat is conducted through a \(2 \mathrm{~m}^2\) wall of \(12 \mathrm{~cm}\) thick in one hour. Temperature difference between the two sides of the wall is \(20^{\circ} \mathrm{C}\). The thermal conductivity of the material of the wall is (in \(\mathrm{W} \mathrm{m}^{-1} \mathrm{~K}^{-1}\) )WBJEE 2011 Hard
- In which of the following phenomena, the heat waves travel along straight lines with the speed of light?WBJEE 2014 Easy
-

A uniform rod AB of length 1m and mass 4kg is sliding along two mutually perpendicular frictionless walls OX and OY.
The velocity of the two ends of the rod A and B are 3 m/s and 4 m/s respectively, as shown in the figure. Then which
of the following statement(s) is/are correct?WBJEE 2024 Medium - Given \(\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}\) and \(\overrightarrow{\mathrm{B}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}\). The component of vector \(\overrightarrow{\mathrm{A}}\) along vector \(\overrightarrow{\mathrm{B}}\) isWBJEE 2011 Easy
- The equation of stationary wave along a stretched string is given by \(y=5 \sin \frac{\pi x}{3} \cos 40 \pi t\). Here x and y are in cm and t in second. The separation between two adjacent nodes isWBJEE 2025 Easy
- In an experiment on a circuit as shown in the figure, the voltmeter shows \(8 \mathrm{~V}\) reading. The resistance of the voltmeter is,
WBJEE 2023 Easy
More PYQs from WBJEE
- A car moving at a velocity of \(17 \mathrm{ms}^{-1}\) towards an approaching bus that blows a horn at a frequency of \(640 \mathrm{Hz}\) on a straight track. The frequency of this horn appears to be \(680 \mathrm{Hz}\) to the car driver. If the velocity of sound in air is \(340 \mathrm{ms}^{-1}\), then the velocity of the approaching bus isWBJEE 2013 Medium
- The value of \(\cos 15^{\circ} \cos 7 \frac{1^{\circ}}{2} \sin 7 \frac{1^{\circ}}{2}\) isWBJEE 2016 Easy
- Let \(f\) and \(g\) be periodic functions with the periods \(T_{1}\) and \(T_{2}\) respectively. Then \(f+g\) isWBJEE 2021 Easy
- A given amount of \(\mathrm{Fe}^{2+}\) is oxidized by \(\mathrm{x}\) mol of \(\mathrm{MnO}_{4}\) in acidic medium. The number of moles of \(\mathrm{Cr}_{2} \mathrm{O}_{7}{ }^{2-}\) required to oxidize the same amount of \(\mathrm{Fe}^{2+}\) in acidic medium isWBJEE 2021 Medium
- The number of unpaired electrons in
\(\quad\left[\mathrm{NiCl}_{4}\right]^{2-}, \mathrm{Ni}(\mathrm{CO})_{4}\) and \(\left[\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2}\)
respectively areWBJEE 2017 Medium - The value of \(\lambda\) such that the system of equations \(2x-y-2 y=2 ; x-2 y+z=-4\),\(x+y+\lambda z=4,\) has no solution, isWBJEE 2015 Easy