Question

What is the wavelength of the waves you create in a swimming pool if you splash your hand at a rate of (2.00 Hz) and the waves propagate at (0.800 m/s)?

a) (0.200 m)
b) (0.400 m)
c) (0.500 m)
d) (1.60 m)

Answer 1

The wavelength (λ) of the waves in a swimming pool created by splashing at 2.00 Hz and with a wave speed of 0.800 m/s is 0.400 m. The correct option is b) 0.400 m.

Step-by-step explanation:

To calculate the wavelength of the waves created in a swimming pool, we need to use the formula for wave speed which is given as:

v = f × λ

where:

v is the wave speed

f is the frequency

λ is the wavelength

In this case, the wave speed (v) is 0.800 m/s, and the frequency (f) at which you are splashing your hand is 2.00 Hz.

To find the wavelength (λ), we rearrange the formula to solve for λ:

λ = ÷ / f

λ = 0.800 m/s / 2.00 Hz

λ = 0.400 m

Therefore, the correct option is b) 0.400 m.