JEE Main 202429 JanuaryEvening Shift
- Exam
- JEE Main
- Year
- 2024
- Date
- 29 January
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Electromagnetic Waves
JEE Main 2024 · 29 January · Evening Shift · Physics · Electromagnetic Waves
A plane electromagnetic wave of frequency 35MHz travels in free...
A plane electromagnetic wave of frequency travels in free space along the -direction. At a particular point (in space and time) \overset{\to}{E} = 9 . 6\overset{^}{j}V{m}^{- 1}. The value of magnetic field at this point is:
Options
- A3 . 2 \times {10}^{- 8}\overset{^}{k}T
- B3 . 2 \times {10}^{- 8}\overset{^}{i}
- C9 . 6\overset{^}{j}T
- D9 . 6 \times {10}^{- 8}\overset{^}{k}T
Correct answer
A. 3 . 2 \times {10}^{- 8}\overset{^}{k}T
Step-by-step solution
At every instant, the ratio of the magnitude of the electric field to the magnitude of the magnetic field in an electromagnetic wave equals the speed of light.
Therefore,
Now, direction of magnetic field can be calculated as
\overset{^}{B} = \overset{^}{v} \times \overset{^}{E}
= \overset{^}{i} \times \overset{^}{j} = \overset{^}{k}
So, \overset{\to}{B} = 3 . 2 \times {10}^{- 8}\overset{^}{k}T