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December 16, 2008
Final Exam Name:
Please read the problems carefully and answer them in the space provided. Write on the back
of the page, if necessary. Show your work where requested in order to be considered for partial
credit. In problems where you are requested to show your work, no credit will be given unless
your work is shown.
Potentially useful formulas:
Distance = Speed ×Time
Momentum = p=mv
Length contraction (space is longer in proper frame) : L′=γL
Time dilation (time is shorter in proper frame) : T=γT ′
Wave properties : v=λν ;ν= 1/T (T = period)
Energy of a particle/wave : E=hν
De Broglie matter waves : λ=h
Uncertainty principle : ∆x∆p>h ; ∆E∆t > h
Constants : c = 300,000 ×103m/s ; G = 6.67 ×10−11 Nm2
k = 9 ×109Nm2
C2; h = 6.6×10−34 Js
r2= 9.8 m/s2(in the surface of the earth)
Do not forget to put units in your results!
1. When we speak of the ”spectrum” of a radiation source, we are referring to
(a) the set of discrete velocities that its particles actually have
(b) the various types of atoms and molecules of which the source is composed
(c) the set of frequencies that the source can emit when electrons make transitions between atomic
(d) the various frequencies at which its particles collide with each other
(e) the inherent motion of the electrons in the atomic orbitals
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PHY100/Final Exam – Page 2 of 6 – Name:
2. Show your work. A car has a mass of 1000 kg.
(a) (2 pts) How much does the car weigh?
If this car is traveling along a straight level road powered by a forward drive force of 500 N, the force
of air resistance is 200 N, and rolling resistance is 100 N.
(b) (2 pts) What is the net force on the car, and in what direction?
(c) (2 pts) What is the car acceleration?
3. Is intergalactic space empty? Defend your answer from what you know about cosmology and quantum
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