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When the frequency of an electromagnetic wave and ultrasonic wave are same, then

  • A.their wavelengths should be same
  • B.wavelength of electromagnetic wave will be more
  • C.wavelength of ultrasonic wave will be more
  • D.wavelength of electromagnetic wave will be less

Answer: B

The wavelength of the electromagnetic wave will be more.

For any wave, speed = frequency \(\times\) wavelength, so at the same frequency the wave that travels faster has the longer wavelength:

\[ \lambda = \frac{v}{f} \]

Electromagnetic waves travel at about \(3 \times 10^{8}\) m/s in air, while ultrasonic waves are sound and travel at only about 340 m/s. So the electromagnetic wavelength is roughly a million times longer.

The wavelengths cannot be equal because the speeds differ, and the options making the ultrasonic wavelength larger or the electromagnetic one smaller say the opposite of the result.

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