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Material Type: Assignment; Professor: Fuhrer; Class: EXP PHYS III; Subject: Physics; University: University of Maryland; Term: Unknown 1989;
Typology: Assignments
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Phys 375 – Monday/Wednesday sections – Prof. Fuhrer Homework #2, due week of September 17-18, 2008
“A small source of light at the bottom face of a rectangular glass slab 2.25 cm thick is viewed from above. Rays of light totally internally reflected at the top surface outline a circle of 7.60 cm in diameter on the bottom surface. Determine the refractive index of the glass.”
a) What is the set of values for x for which you can see the entire green arrow in the mirror (blue slab at top)?
b) Draw the image of the arrow in the mirror.
“Show that the lateral displacement of a ray of light penetrating a rectangular plate of thickness t is given by
2
1 2 cos
sin( )
t s
where θ (^) 1 and θ (^) 2 are the angles of incidence and refraction, respectively. Find the displacement when t = 3 cm, n = 1.50, and θ 1 = 50º.”
θ 1 = 42º ± 0.3º θ 2 = 25º ± 0.3º
a) What is the measured index of refraction for the block, and standard deviation?
b) The error in which angle’s measurement contributes most to the error in the index of refraction?