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JEE Main 202227 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2022 · 27 July · Morning Shift · Physics · Electromagnetic Waves

A beam of light travelling along X -axis is described by the...

A beam of light travelling along XX-axis is described by the electric field Ey=900sinω(t−xc){E}_{y} = 900sin\omega\left(t - \dfrac{x}{c}\right). The ratio of electric force to magnetic force on a charge qq moving along YY-axis with a speed of 3×107ms−13 \times {10}^{7}m{s}^{- 1} will be :

[Given speed of light =3×108ms−1= 3 \times {10}^{8}m{s}^{- 1} ]

A beam of light travelling along X -axis is described by the electric field E _ y = 900sinω(t - (x)/(c)) . The ratio of

Options

  1. A1:11: 1
  2. B1:101: 10
  3. C10:110: 1
  4. D1:21: 2

Correct answer

C. 10:110: 1

Step-by-step solution

Given, Ey=900sin⁡(\omegat−\omegaxc){E}_{y} = 900\sin \left(\omegat - \dfrac{\omegax}{c}\right)

Here, E0=900{E}_{0} = 900

A beam of light travelling along X -axis is described by the electric field E _ y = 900sinω(t - (x)/(c)) . The ratio of

Electric field and electric force are related as FE=qE0{F}_{E} = q{E}_{0}

Magnetic force of a moving charge is given by FB=qvB0{F}_{B} = qv{B}_{0}

Thus, the ratio FEFB=E0vB0\dfrac{{F}_{E}}{{F}_{B}} = \dfrac{{E}_{0}}{v{B}_{0}}

Using relation between magnetic and electric field, we have

FEFB=cv=3×1083×107=10:1\dfrac{{F}_{E}}{{F}_{B}} = \dfrac{c}{v} = \dfrac{3 \times {10}^{8}}{3 \times {10}^{7}} = 10: 1

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