Passage 6: Soap
Soap bubbles, despite their delicate and transient nature, have fascinated scientists
and laypeople alike for hundreds of years. When passing a white light source
through a soap bubble, a series of colorful bands can be observed along the surface
which changes with thickness of the soap film.
Scientists studying this phenomenon came up with an experiment to investigate
this behavior of light and physical properties of the soap bubbles themselves.
Materials:
• Soap solution
• White light source
• Camera with infrared, visible, and UV filters
• Spectrometer
• Polarizing filters
Procedure:
First, a soap solution was prepared with water, a small amount of soap, and glycerin.
The presence of glycerin was helpful to counter a primary limiting factor for the
stability of soap bubbles: surface tension. The bubbles were then illuminated with
the white light source, and the infrared, visible, and UV camera filters were used to
capture images of the three spectra.
Interference patterns were recorded as the bubbles expanded. Spectrometry was
utilized to analyze the light that was both reflected and transmitted through the film
at different angles. Results are tabulated below.
By the end of the experiment, the researchers concluded that the interference
patterns had the most observable effect on the vibrance of colors in the visible
spectrum. Infrared radiation was largely absorbed, but UV light experienced
significant scattering. When viewed through the polarizing filters, intensity of light
varied consistently with the orientation of the polarizer.
What is the energy of a photon moving at a frequency of 20 Hz?
A) 3.313*10-35 Joules
B) 3.313*10-
³⁴ Joules
C) 6.626*10-35 Joules
D) 6.626*10-
³⁴ Joules
Correct answer is A
The energy of a photon can be calculated using the equation E = hf, where E = the
energy of a photon in Joules, h = 6.626*10-
³⁴ Joules*second (Planck’s constant), and
f = the frequency of the photon in Hertz (Hertz or Hz is equivalent to s-
¹).
E = hf
E = (6.626*10-
³⁴ Joules*second)(20 s-
¹)
E = 3.313*10-
³
5 Joules
Although this math may initially appear difficult, it is actually quite simple once
the equation is set up correctly. 6.626 can be easily divided by 2 into 3.313, and
then the entire number must be divided by a factor of 10. 10-
³⁴, when divided by 10,
becomes one-tenth smaller, which means that 3.313 should be multiplied by 10-35.
For this reason, Answer A is correct and Answers B, C, and D are incorrect.