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oladayoademosu

The range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.

To find the range of wavelengths, we use the equation for the speed of a wave

Speed of a wave

The speed of a wave v = fλ where

  • f = frequency and
  • λ = wavelength

What is Wavelength?

This is the distance a wave travels in one cycle of the wave.

Making λ subject of the formula, we have

λ = v/f

Given that the range of frequencies of FM radio is 88.0 MHz to 108 MHz and

  • v = speed of electromagnetic wave = 3 × 10⁸ m/s,
  • f' = lowest frequency = 88.0 MHz = 88.0 × 10⁶ Hz and
  • f" = highest frequency = 108 MHz = 108 × 10⁶ Hz

The longest wavelength, λ'

λ' = v/f'

= 3 × 10⁸ m/s ÷ 88.0 × 10⁶ Hz

= 0.0341 × 10² m

= 3.41 m

The shortest wavelength, λ"

λ" = v/f"

= 3 × 10⁸ m/s ÷ 108 × 10⁶ Hz

= 0.0278 × 10² m

= 2.78 m

So, the range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.

Learn more about wavelength here:

https://brainly.com/question/26637292

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