Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2014
A.V. Manohar PHYS 4D: WAVES, OPTICS, AND RELATIVITY Winter 2014
QUIZ 2
All students must work independently. The quiz is closed book and closed notes, so no
reference materials (textbook, class notes, formula sheets, etc) can be used. No communication dev
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2011
Problem1.
A radar system produces pulses consisting of 100 full cycles of a sinusoidal 70GHz
electromagnetic wave. The average power while the transmitter is on is 45 MW, and the
waves are confined to a beam 20 cm in diameter. Find (a) the peak electric
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2011
Problem 1 (5 points)
What is the radiation pressure exerted on a lightabsorbing surface by a laser beam whose
intensity is 180 W/cm2.
Solution:
Problem 2 (5 points)
The average intensity of noonday sunlight is about 1 kW/m2.
What is the radiation force o
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2011
Problem 1
A laser pointer delivers 0.10 mW average power in a beam 0.90 mm in diameter.
Find
(a) the average intensity,
(b) the peak electric field,
(c) the peak magnetic field.
Solution:
W/m2.
V/m
.
Problem 2
At 1.5 km from the transmitter, the peak elec
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2011
Problem 1
The plane
separate air (
,
) from iron (
,
).
Given that
A/m in air,
find
in iron and the angle it makes with the interface.
Solution:
,
Problem 2
An objects image in a 27cmfocal length concave mirror is upright and magnified by a
factor of 3.
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2011
Problem 1
A man has +3.8 D lenses to provide full correction of his farsightedness. His old lenses
are +2.5 D.
(a) What is the near point for his unaided eyes?
(b) How far away from his eyes he must hold a paper to use his old lenses?
Solution:
(a) 3.8 =
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2011
Quiz 8
Problem 1
(a) What is the speed of an electron whose kinetic energy is 14,000 times its rest
energy? You can state the answer as the difference
.
(b) If the electrons travel in the lab through a tube 3 km long, how long is this tube in
the electron
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2011
Quiz6
Problem 1
In a twoslit interference experiment, the path length to a certain point
screen differs for one slit in comparison to other by
.
(a) What is the phase difference between the two waves arriving at point
(b) Determine the intensity at
on th
PHYS 4D
Solution to Quiz 1
January 14, 2011
Problem 1 Electromagnetic waves and sound waves can have the same frequency.
(a) What is the wavelength of a 1KHz electromagnetic wave?
Solution:
= c/f = (3.0 108 m/s)/(1 103 /s) = 3 105 m.
(b) What is the wave
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2014
A.V. Manohar PHYS 4D: WAVES, OPTICS, AND RELATIVITY Winter 2014
QUIZ 1
All students must work independently. The quiz is closed book and closed notes, so no
reference materials (textbook, class notes, formula sheets, etc) can be used. No communication dev
Physics for Physics Majors – EM Waves, Optics, Special Relativity
PHYS 4d

Winter 2014
A.V. Manohar PHYS 4D: WAVES, OPTICS, AND RELATIVITY Winter 2013
QUIZ 4
The eld of a charge moving with velocity v is:
E=
Q
1 2
4 0 r 2 1 2 sin2
3/2
r
B= vE
(1)
If F is moving with velocity as seen by F ,
E =E
B =B
E = (E + B )
B = (B E )
(2)
All students
Reflection and refraction of a plane wave at oblique incidence
Let us consider a plane wave that obliquely incidents at the boundary of two media that
are characterized by their permittivity and permeability (see Figure 1). The plane
containing both the n
Quiz6
Problem 1
In a twoslit interference experiment, the path length to a certain point P on the
screen differs for one slit in comparison to other by 1 5 .
.
2
(a) What is the phase difference between the two waves arriving at point P ?
(b) Determine t
PHYS 4D
Solution to HW 4
January 28, 2011
Problem Giancoli 321 (I) When you look at yourself in a 60cmtall plane mirror, you see the same amount
of your body whether you are close to the mirror or far away. (Try it and see.) Use ray diagrams to show wh
PHYS 4D
Solution to HW 3
January 20, 2011
Problem Giancoli 3134 (II) Estimate the radiation pressure due to a 75W bulb at a distance of 8.0 cm from
the center of the bulb. Estimate the force exerted on your ngertip if you place it at this point.
Solutio
PHYS 4D
Solution to HW 2
January 15, 2011
Problem Giancoli 3122 (I) The E eld in an EM wave has a peak of 26.5mV /m. What is the average rate at
which this wave carries energy across unit area per unit time?
Solution: The average rate at which this wave
PHYS 4D
Solution to HW 1
January 9, 2011
Problem Giancoli 311 (I) Determine the rate at which the electric eld changes between the round plates of
a capacitor, 6.0cm in diameter, if the plates are spaced 1.1mm apart and the voltage across them is changin
Ch. 36, # 64, 66, 68
Problem 4
Suppose you have a collection of particles, all moving in the x direction, with energies
E1, E2, E3, and momenta p1, p2, p3, . Find the velocity of the center of momentum
frame, in which the total momentum is zero.
Problem 5
HW 4
Ch 32: # 1, 3, 5, 7, 11, 12, 13, 15, 18, 21
Problem: An electric field inside a dielectric makes an angle of 25 o with the normal to
an interface between the material and air. The relative permittivity of the dielectric is 1.8.
What angle does the fi
Problem: An electric field inside a dielectric makes an angle of 25 o with the normal to
an interface between the material and air. The relative permittivity of the dielectric is 1.8.
What angle does the field make with the normal on the air side of the m