The wavelength and frequency of the H α line of hydrogen gas in a laboratory in which the discharge tube produces first-order bright band at a distance of 17.4 cm from the central maxima if a grating spectrograph has 5000 lines/cm and is placed by a distance of 0.500 m from the film.
The wavelength and frequency of the H α line of hydrogen gas in a laboratory in which the discharge tube produces first-order bright band at a distance of 17.4 cm from the central maxima if a grating spectrograph has 5000 lines/cm and is placed by a distance of 0.500 m from the film.
Solution Summary: The author analyzes the wavelength and frequency of the hydrogen gas line in a laboratory where the discharge tube produces first-order bright bands.
The wavelength and frequency of the Hα line of hydrogen gas in a laboratory in which the discharge tube produces first-order bright band at a distance of 17.4 cm from the central maxima if a grating spectrograph has 5000 lines/cm and is placed by a distance of 0.500 m from the film.
(b)
To determine
The wavelength and frequency of the Hα line coming from the galaxy in a cluster. Hydra A produces first-order bright band at a distance of 18.4 cm from the central maxima if the grating spectrograph has 5000 lines/cm and is placed at 0.500 m from the thin film.
(c)
To determine
The possible reason for the frequency differences of Hα line from the galaxy and Hα line from the lab source if the grating spectrograph has 5000 lines/cm and is placed at a distance of 0.500 m from the thin film.
Consider a image that is located 30 cm in front of a lens. It forms an upright image 7.5 cm from the lens. Theillumination is so bright that that a faint inverted image, due to reflection off the front of the lens, is observedat 6.0 cm on the incident side of the lens. The lens is then turned around. Then it is observed that the faint,inverted image is now 10 cm on the incident side of the lens.What is the index of refraction of the lens?
2. In class, we discussed several different flow scenarios for which we can make enough
assumptions to simplify the Navier-Stokes equations enough to solve them and obtain
an exact solution. Consulting the cylindrical form of the Navier-Stokes equations copied
below, please answer the following questions.
др
a
1 a
+
+0x-
+
+O₂
= Pgr
+ μl
18²v, 2 ave ²v₁]
az2
+
at
or
r de r
Əz
dr
ar
Vodvz
др
[18
+
+
+Or
+
+Vz
= Pgz
+fl
at
ar
r 20
ôz
ôz
dr
ave
дов
V,Ve
ave
+Or
+
+
= pge
at
dr r 80
Əz
+
az2
a.) In class, we discussed how the Navier-Stokes equations are an embodiment of Newton's
2nd law, F = ma (where bolded terms are vectors). Name the 3 forces that we are considering in
our analysis of fluid flow for this class.
др a 10
1 ve 2 av 2200]
+
+μ
or
42 30
b.) If we make the assumption that flow is "fully developed" in the z direction, which term(s)
would go to zero? Write the term below, describe what the term means in simple language (i.e.
do not simply state "it is the derivative of a with…
1. Consult the form of the x-direction Navier-Stokes equation below that we discussed in
class. (For this problem, only the x direction equation is shown for simplicity). Note that
the equation provided is for a Cartesian coordinate system. In the spaces below, indicate
which of the following assumptions would allow you to eliminate a term from the
equation. If one of the assumptions provided would not allow you to eliminate a
particular term, write "none" in the space provided.
du
ди
at
( + + + 매일)
du
ди
=
-
Pgx
dy
др
dx
²u
Fu
u
+ fl
+
ax2 ay²
az2
-
дх
-
Əz
1 2 3 4 5 6 7 8 9
Assumption
Flow is in the horizontal direction (e.g. patient lying
on hospital bed)
Flow is unidirectional in the x-direction
Steady flow
We consider the flow to be between two flat,
infinitely wide plates
There is no pressure gradient
Flow is axisymmetric
Term(s) in equation
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