A wave has 16 cycles in 208 m of space. It's frequency is 4hz. What is the velocity of the wave

52 m/s

Explanation:

Wavelength is the distance between two successive crests. Two crests make one circle hence 16 cycles are equal to 16 wavelengths. Each wavelength is equal to 208/16=13 m long

Speed of wave is given as the product of wavelength and frequency, expressed as

S=fw

Where f is the frequency and w is the wavelength

Substituting 13 m for w and 4 Hz for f then

S=4*13=52 m/s

Therefore, the speed is equivalent to 52 m/s