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Chapter 15: Problem 2205

When an electromagnetic wave encounters a dielectric medium, the transmitted wave has (A) same frequency but different amplitude (B) same amplitude but different frequency (C) same frequency and amplitude (D) different frequency and amplitude

Short Answer

Expert verified
Based on the analysis, when an electromagnetic wave encounters a dielectric medium, the transmitted wave has the same frequency but different amplitude. This is because the frequency is a property of the source and remains unchanged during transmission, while the amplitude may get reduced due to partial reflection or absorption of the wave in the medium. Therefore, the correct answer is (A) same frequency but different amplitude.

Step by step solution

01

Recall characteristics of electromagnetic waves

When an electromagnetic wave interacts with a dielectric medium, some part of the wave is reflected, and the remaining is transmitted through the medium. The speed of the transmitted wave changes due to the dielectric properties of the medium. The wave's electric field interacts with the medium's particles, causing the wave's speed to change. However, the frequency of the wave remains constant across the interface.
02

Compare given options with wave properties in a dielectric medium

Now we will analyze each of the given options and compare them with the properties of the transmitted wave in a dielectric medium. (A) same frequency but different amplitude - The transmitted wave has the same frequency as the incident wave because frequency is a property of the source and remains unchanged during transmission. The amplitude may get reduced due to partial reflection or absorption of the wave in the medium. (B) same amplitude but different frequency - As discussed earlier, the frequency remains constant, and the amplitude may change. So, this option is incorrect. (C) same frequency and amplitude - The frequency is the same, but the amplitude may change due to absorption or reflection within the medium. Hence, this option is not correct. (D) different frequency and amplitude - We have established that the frequency remains constant, so this option is incorrect.
03

Conclusion

Based on the above analysis, we can determine that the correct answer is: (A) same frequency but different amplitude

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