Question

A stone is thrown into a water pond forming 10 waves in 5 seconds. The diameter of the first crest is 13meter and the diameter of the last crest is 4 meter . Find the wavelength.

Answer 1

Answer on Question #45339, Physics, Mechanics | Kinematics | Dynamics

A stone is thrown into a water pond forming 10 waves in 5 seconds. The diameter of the first crest is 13 meter and the diameter of the last crest is 4 meter. Find the wavelength.

Solution:

Wavelength is the horizontal distance, either between the crests or troughs of two consecutive waves.

In our case, between 10 crests we have 9 troughs.

The radius of first crest is

$$= \frac {13}{2} = 6.5 \mathrm {m}$$

The radius of tenth crest is

$$_ 0 = \frac {4}{2} = 2 \mathrm {m}$$

The wavelength is

$$L = \frac {- _ {0}}{9} = \frac {6.5 - 2}{9} = 0.5 \mathrm {m}$$

Answer: $L = 0.5 \mathrm{~m}$ .

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