What is the ratio of thicknesses of crown glass and water that would contain the same number of wavelengths of light? The index of refraction of crown glass is 1.52 and for water is 1.333.
Answer: 0.877 (Click and drag over the answer to highlight it)
10.2
Calculate the distance between fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen
Answer: 2.4 cm
10.3
Find the wavelength of light that produces fringes 7.50 mm apart on a screen 2.00 m from double slits separated by 0.120 mm
Answer: 450 nm
10.4
(a) At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 mm?
(b) Calculate the angle for the third-order maximum of 580-nm wavelength yellow light falling on double slits separated by 0.100 mm.
Answer: (a) 0.516° (b) 0.997°
10.5
How many lines per centimeter are there on a diffraction grating that gives a first-order maximum for 470-nm blue light at an angle of 25.0º?
Answer: 8.99 x 103 lines per cm
10.6
An electric current through hydrogen gas produces several distinct wavelengths of visible light. What are the wavelengths of the hydrogen spectrum, if they form first-order maxima at angles of 24.2º, 25.7º, 29.1º, and 41.0º when projected on a diffraction grating having 10,000 lines per centimeter?
Answer: 410 nm, 434 nm, 486 nm, 656 nm
10.7
The yellow light from a sodium vapor lamp seems to be of pure wavelength, but it produces two first-order maxima at 36.093º and 36.129º when projected on a 10,000 line per centimeter diffraction grating. What are the two wavelengths to an accuracy of 0.1 nm?
Answer: 589.1 nm and 589.6 nm
10.8
What is the distance between fringes produced by a diffraction grating having 125 lines per centimeter for 600-nm light, if the screen is 1.50 m away?
Answer: 1.13 cm
10.9
A soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. What wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?
Answer: 533 nm, green
10.10
Find the minimum thickness of a soap bubble that appears red when illuminated by white light perpendicular to its surface. Take the wavelength to be 680 nm, and assume the same index of refraction as water.
Physics Education Research at UNG 