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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 450

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Short Answer

A sound wave with wavelength and frequency moves into a new medium in which the speed of sound is . What are the new wavelength and frequency ? Explain

The new wavelength of the new wave is and the new frequency of the new wave is .

See the step by step solution

Step by Step Solution

Step 1. Write the given information

The wavelength of a sound wave is given by

The frequency of the wave is the speed of the wave is

When the wave travels in a different medium, the speed of the wave is

The frequency of the new wave is

The wavelength of the new wave is

Step 2. To determine the new wavelength and frequency.

  • The speed of the wave is given by the formula
  • When the wave travels from one medium to another, the wavelength of the wave changes but the frequency remains constant.
  • Therefore, if the speed of the wave changes with the medium, it implies that the wavelength has also changed.

According to the given information,

Thus, the wavelength of the new wave is

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