Two closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by d θ d λ = m d cos θ (b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
Two closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by d θ d λ = m d cos θ (b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
Solution Summary: The author calculates the angles of bright beams difted from the grafting.
Two closely spaced wavelengths of light are incident on a diffraction grating. (a) Starting with Equation 37.7, show that the angular dispersion of the grating is given by
d
θ
d
λ
=
m
d
cos
θ
(b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
1. An ideal gas is taken through a four process cycle abcda. State a has a pressure of 498,840 Pa. Complete the tables
and plot/label all states and processes on the PV graph. Complete the states and process diagrams on the last page.
Also, provide proper units for each column/row heading in the tables.
Pressure (Pa)
500,000
450,000
400,000
350,000
300,000
250,000
200,000
150,000
100,000
Process
ab
bc
cd
da
States
P( )
V( )
50,000
0
0.000
T = 500 K
T= 200 K
0.001
0.002
0.003
0.004
0.005
Volume (m^3)
Nature of Process
isothermal expansion to Vb = 0.005 m³ (T = 500 K)
isometric
isothermal compression to V₁ = 0.003 m³ (T = 200 K)
adiabatic compression to VA = 0.001 m³
b
C
a
T()
U ( )
Processes
a-b
Q( )
+802.852
W()
AU ( )
b-c
c→d
+101.928
da
Cycle
Plz no chatgpt I
A = 45 kN
a = 60°
B = 20 kN
ẞ = 30°
Problem:M1.1
You and your friends are on an archaeological adventure and are trying to disarm an ancient trap to do so you
need to pull a log straight out of a hole in a wall. You have 1 rope that you can attach to the log and there are
currently 2 other ropes and weights attached to the end of the log. You
know the force and direction of the ropes currently attached are arranged
as shown below what is the magnitude and direction 'e' of the minimum
force you need to apply to the third rope for the force on the log to be in
direction of line 'a'? What is the resultant force in direction 'a'?
a
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Chapter 38 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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