A radio can tune to any station in the frequency range from 2.5 MHz to 15 MHz bands. What is the corresponding wavelength band?a)30 m to 130 mb)40 m to 140 mc)20 m to 120 md)10 m to 110 mCorrect answer is option 'C'. Can you explain this answer?

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A radio can tune to any station in the frequency range from 2.5 MHz to 15 MHz bands. What is the corresponding wavelength band?

a)
30 m to 130 m
b)
40 m to 140 m
c)
20 m to 120 m
d)
10 m to 110 m

Correct answer is option 'C'. Can you explain this answer?

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Most Upvoted Answer

A radio can tune to any station in the frequency range from 2.5 MHz to...

Maximum wavelength in the band will correspond to the lowest frequency:
c = f_minλ_max

= 120 m
Minimum wavelength in the band will correspond to the highest frequency:
c = f_maxλ_min

= 20 m
Therefore, the corresponding wavelength band is 20 m to 120 m.

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Community Answer

A radio can tune to any station in the frequency range from 2.5 MHz to...

The wavelength band of the radio is from 20 m to 120 m.

To understand why option C is the correct answer, let's break down the given information:

- The frequency range of the radio is from 2.5 MHz to 15 MHz.
- The corresponding wavelength band is being asked.

Understanding the Relationship between Frequency and Wavelength:

There is an inverse relationship between frequency and wavelength. As the frequency of a wave increases, its wavelength decreases, and vice versa. This relationship is defined by the equation:

Speed of light = Frequency x Wavelength

Since the speed of light is constant, any change in frequency will result in a corresponding change in wavelength.

Calculating the Wavelength Range:

1. The given frequency range is from 2.5 MHz to 15 MHz.
2. We can convert these frequencies to wavelengths using the equation:

Wavelength = Speed of light / Frequency

The speed of light is approximately 3 x 10^8 meters per second.

3. For the lower frequency of 2.5 MHz:

Wavelength = (3 x 10^8 m/s) / (2.5 x 10^6 Hz)
= 120 m

Therefore, the lower wavelength limit is 120 m.

4. For the higher frequency of 15 MHz:

Wavelength = (3 x 10^8 m/s) / (15 x 10^6 Hz)
= 20 m

Therefore, the higher wavelength limit is 20 m.

Conclusion:

The corresponding wavelength band for the given frequency range of 2.5 MHz to 15 MHz is from 20 m to 120 m. This matches with option C, making it the correct answer.

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A radio can tune to any station in the frequency range from 2.5 MHz to 15 MHz bands. What is the corresponding wavelength band?a)30 m to 130 mb)40 m to 140 mc)20 m to 120 md)10 m to 110 mCorrect answer is option 'C'. Can you explain this answer?

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