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## Homework Statement

When you slosh the water back and forth in a tub at just the right frequency, the water alternately rises and falls at each end, remaining relatively calm at the center. Suppose the frequency to produce such a standing wave in a 64.6 cm wide tub is 0.835 Hz. What is the speed of the water wave?

**2. The attempt at a solution**

v= lambda*f

L = 1/2 lambda

v = 2L*f

v= 1.07 m/s

**My Question:**

Why is the width of the bathtub 1/2 the wavelength?

I'm confused.

Thanks