Question

A dolphin can typically hear sounds with frequencies up to 150 kHz. What is the speed of sound in water if a wave with this frequency has a wavelength of 1.0 cm? (Answer in m/Hz)

A) 1,500 m/Hz
B) 15,000 m/Hz
C) 150,000 m/Hz
D) 1,500,000 m/Hz

Answer 1

The speed of sound in water can be calculated using the formula: Speed of sound = Frequency x Wavelength. Given that the dolphin can hear sound waves with frequencies up to 150 kHz and a wave with this frequency has a wavelength of 1.0 cm, we can determine the speed of sound in water to be 150,000 m/Hz.

Therefore, the correct answer is C) 150,000 m/Hz.

Step-by-step explanation:

The speed of sound in water can be calculated using the formula:

Speed of sound = Frequency x Wavelength

Given that the dolphin can hear sound waves with frequencies up to 150 kHz and a wave with this frequency has a wavelength of 1.0 cm, we can substitute these values into the formula:

Speed of sound = 150 kHz x 1.0 cm

Converting the wavelength from centimeters to meters, we get:

Speed of sound = 150,000 Hz/m

Therefore, the correct answer is C) 150,000 m/Hz.