a. The headlights of a car are 1.7 m apart. What is the maximum distance (in km) at which the eye can resolve these two headlights? Take the pupil diameter to be 0.33 cm. (Assume the average wavelength of visible light is 550 nm.) _____ km? b. A student's eyes, while reading the blackboard, have a power of 50.4 D. How far in m is the board from his eyes? (Assume the lens-to-retina distance is 2.00 cm.) ____ m? c. Find the distance in nm between two slits that produces the first minimum for 420-nm violet light at an angle of 38.5°. ____ nm? d. At what angle in degrees is the first-order maximum for 455-nm wavelength blue light falling on double slits separated by 0.0470 mm? ______ °?
Refraction of Light
Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.
Angle of Refraction
Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.
Index of Refraction of Diamond
Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.
a. The headlights of a car are 1.7 m apart. What is the maximum distance (in km) at which the eye can resolve these two headlights? Take the pupil diameter to be 0.33 cm. (Assume the average wavelength of visible light is 550 nm.)
_____ km?
b. A student's eyes, while reading the blackboard, have a power of 50.4 D. How far in m is the board from his eyes? (Assume the lens-to-retina distance is 2.00 cm.)
____ m?
c. Find the distance in nm between two slits that produces the first minimum for 420-nm violet light at an angle of 38.5°.
____ nm?
d. At what angle in degrees is the first-order maximum for 455-nm wavelength blue light falling on double slits separated by 0.0470 mm?
______ °?
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