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Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air

  1. decreases by a factor 10
  2. increases by a factor 20
  3. increases by a factor 10
  4. decreases by a factor 20

Correct answer: increases by a factor 10

Solution

The wavelength of a wave is given by λ = v/f, where v is the speed of the wave and f is its frequency. As the wave enters brass, its speed increases by a factor of 10 (3500 m/s ÷ 350 m/s), while the frequency remains constant. Therefore, the wavelength also increases by a factor of 10.

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