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Chapter 20: Problem 2688

An antenna can transmit \(\quad\) radiation with more efficiency. (A) low frequency (B) high frequency (C) long wave length (D) None of these

Short Answer

Expert verified
An antenna can transmit radiation with more efficiency at high frequency (option B) as it allows for smaller antenna size, leading to more efficient transmission.

Step by step solution

01

Understanding the basic concepts

We need to know that frequency (f) and wavelength (λ) are inversely related to each other as given by the equation \(c = f \lambda\), where c is the speed of light. It means that greater the frequency, shorter the wavelength, and vice versa.
02

Comparing frequencies

An antenna can transmit radiation with more efficiency when its size is comparable to the wavelength of the radiation being transmitted. For low-frequency radiation, the wavelength is longer. It would require a larger antenna size to transmit this radiation efficiently. As a result, low-frequency antennas are less efficient due to their bigger size requirement for efficient transmission. On the other hand, high-frequency radiation has shorter wavelength, making it possible to have smaller antenna size, which can efficiently transmit the radiation. Thus, the efficiency of an antenna depends on the frequency of the radiation being transmitted.
03

Comparing wavelength

From the explanation of frequencies, we can infer that the efficiency of an antenna is inversely related to the wavelength, i.e., longer wavelength leads to less efficient antenna and shorter wavelength leads to more efficient antenna.
04

Final conclusion

Based on the analysis of the relationship between frequency, wavelength, and antenna size, we can conclude that an antenna can transmit radiation with more efficiency at high frequency (option B).

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