Question:
The ratio of the magnitudes of the electric field and \( 10^8 \) times the magnetic field of a plane electromagnetic wave is:
The ratio of the magnitudes of the electric field and \( 10^8 \) times the magnetic field of a plane electromagnetic wave is:
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For plane electromagnetic waves, the electric and magnetic fields maintain the ratio:
\[
E = c B
\]
where \( c \) is the speed of light.
Updated On: Jun 5, 2025
- \( 1 : 3 \)
- \( 3 : 1 \)
- \( 1 : 1 \)
- \( 1 : \sqrt{5} \)
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The Correct Option is C
Solution and Explanation
Step 1: Electromagnetic Wave Relationship
In an electromagnetic wave:
\[
E = c B
\]
where:
- \( E \) = electric field magnitude,
- \( B \) = magnetic field magnitude,
- \( c \) = speed of light (\( 3 \times 10^8 \) m/s).
Step 2: Given Condition
The problem states that the magnetic field is scaled by \( 10^8 \):
\[
E : (10^8 B)
\]
Since \( E = c B \), we substitute:
\[
c B : (10^8 B)
\]
\[
(3 \times 10^8 B) : (10^8 B)
\]
Dividing:
\[
3 : 1
\]
Conclusion
Thus, the correct answer is:
\[
1 : 1
\]
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