Sonar systems used in water send out sound waves that reflect off the environment and then are detected. As water gets denser, the speed of sound in water increases. What would happen to the wavelength of a sonar wave as it moves into water with a 5% higher speed of sound?(1 point)

Question

Sonar systems used in water send out sound waves that reflect off the environment and then are detected. As water gets denser, the speed of sound in water increases. What would happen to the wavelength of a sonar wave as it moves into water with a 5% higher speed of sound?(1 point)
Responses

The wavelength would increase by 5%.
The wavelength would increase by 5%.

The wavelength would change to match the new frequency.
The wavelength would change to match the new frequency.

The wavelength would decrease by 5%.
The wavelength would decrease by 5%.

The wavelength would stay the same.

GPT-4o mini · Answer

The correct response is: **The wavelength would increase by 5%.** This is because the speed of a wave is related to its frequency and wavelength by the equation $ v = f \lambda $ (where $ v $ is the speed of sound, $ f $ is the frequency, and $ \lambda $ is the wavelength). If the speed of sound increases by 5% and the frequency remains constant, the wavelength must also increase by 5% to satisfy the equation.