Pedrotti, Problems - Experimental physics | PHYS 375, Assignments of Physics

Material Type: Assignment; Professor: Fuhrer; Class: EXP PHYS III; Subject: Physics; University: University of Maryland; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 02/13/2009

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Phys 375 – Monday/Wednesday sections – Prof. Fuhrer
Homework #2, due week of September 17-18, 2008
1) Pedrotti, problem 2-7:
“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.”
2) The picture below shows the top view of a room. You are walking along the x-axis.
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.
3) Pedrotti, problem 2-8.
“Show that the lateral displacement of a ray of light penetrating a rectangular plate of
thickness t is given by
2
21
cos
)sin(
θ
θθ
=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 θ1 = 50º.”
pf2

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Phys 375 – Monday/Wednesday sections – Prof. Fuhrer Homework #2, due week of September 17-18, 2008

  1. Pedrotti, problem 2-7:

“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.”

  1. The picture below shows the top view of a room. You are walking along the x-axis.

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.

  1. Pedrotti, problem 2-8.

“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.”

  1. You set up an experiment to measure the angle of incidence θ 1 and refraction θ 2 for light entering a plastic block. The light ray is incident from air, and you can assume the index of refraction for air is 1.0003 (exact). You measure:

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?