Just as you are about to step into a nice hot bath, a small earthquake rattles y

Question

Just as you are about to step into a nice hot bath, a small earthquake rattles your bathroom. Immediately afterward, you notice that the water in the tub is oscillating. The water in the center seems to be motionless while the water at the two ends alternately rises and falls, like a seesaw. There are no other points where the water seems to be motionless. You happen to know that your bathtub is 1.4m long, and you count 10 complete oscillations of the water in 19s .

a) What is the wavelength of this standing wave? Express your answer using two significant figures and in meters.

b) What is the speed of the waves that are reflecting back and forth inside the tub to create the standing wave? Express your answer using two significant figures and in m/s.

Explanation / Answer

As the water at the end rises and falls like a see saw it implies that these two are the only antinodes.And the distance between two antinodes =Wavelength(W)/2=> wavelength -2*length of tub=2.80 m

Frequency=10/19 and hence as frequency*wavelength=velocity 10/19*2.8=1.47m/s

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