Find the minimum thickness (in nm) of a soap bubble that appears green when illuminated by white light perpendicular to its surf
ace. Take the wavelength to be 549 nm, and assume the same index of refraction as water (nw
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To solve this problem it is necessary to apply the concepts related to frequency as a function of speed and wavelength as well as the kinematic equations of simple harmonic motion
From the definition we know that the frequency can be expressed as
Where,
Therefore the frequency would be given as
The frequency is directly proportional to the angular velocity therefore
Now the maximum speed from the simple harmonic movement is given by
Where
A = Amplitude
Then replacing,
Therefore the maximum speed of a point on the string is 3.59m/s