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Fall 2010 CH301 Worksheet 1 Answer Key
1. Calculate the frequency of light that corresponds to the following wavelengths in a vacuum.
a) 120 nm
c = λ·ν
3.00 x 10
8
m/s = (120 x 10
9
m) ·ν
ν = (3.00 x 10
8
ms
1
)/(12 x 10
8
m)
NOTE: You could have rewritten the 120 E9 term as 1.2 E7, but 3/12 makes it an easy calculation.
ν = 0.25 x 10
16
s
1
= 2.5 x 10
15
hz
b) 6 km
c = λ·ν
3.00 x 10
8
m/s = (6 x 10
3
m) ·ν
ν = (3.00 x 10
8
ms
1
)/(6 x 10
3
m)
ν = 0.5 x 10
5
s
1
= 5 x 10
4
hz
c) 100 Å
(1 Å = 10
10
m, a conversion factor you should know.)
ν = (3.00 x 10
8
ms
1
)/(1 x 10
8
m)
ν = 3 x 10
16
s
1
2. How would doubling the frequency of a given wave affect the following values?
a) λ
it would be halved
b) c
no change
3. Calculate wavelength from the following frequencies.
a) 900.
kHz
λ = c/ν
λ = (3.00 E8 m/s)/(900 E3 Hz) = (3.00 x 10
8
m/s)/(9.00 x 10
5
s
1
) = 0.333 x 10
3
m
b) 300 MHz
λ = (3.00 E8 m/s)/(3.00 E5 Hz) = 1 x 10
3
m
4. Estimate the wavelength of light with a frequency of 92 GHz.
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This note was uploaded on 09/19/2011 for the course CH 301 taught by Professor Fakhreddine/lyon during the Fall '07 term at University of Texas at Austin.
 Fall '07
 Fakhreddine/Lyon

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