A famous experiment detected 527 muons per hour at the top of Mt. Washington. New Hampshire, elevation 1910 m. At sea level, the same equipment detected 395 muons per hour. A discriminator selected for muons whose speed was between 0. 9950c and 0. 9954c. Given that the mean lifetime τ of a muon in a frame in which it is at rest is 2.2 μ s and that in this frame the number of muons decays exponentially with time according to N = N 0 e − t / τ , show that the results obtained in the experiment are sensible.
A famous experiment detected 527 muons per hour at the top of Mt. Washington. New Hampshire, elevation 1910 m. At sea level, the same equipment detected 395 muons per hour. A discriminator selected for muons whose speed was between 0. 9950c and 0. 9954c. Given that the mean lifetime τ of a muon in a frame in which it is at rest is 2.2 μ s and that in this frame the number of muons decays exponentially with time according to N = N 0 e − t / τ , show that the results obtained in the experiment are sensible.
A famous experiment detected 527 muons per hour at the top of Mt. Washington. New Hampshire, elevation 1910 m. At sea level, the same equipment detected 395 muons per hour. A discriminator selected for muons whose speed was between 0.9950c and 0.9954c. Given that the mean lifetime
τ
of a muon in a frame in which it is at rest is
2.2
μ
s
and that in this frame the number of muons decays exponentially with time according to
N
=
N
0
e
−
t
/
τ
, show that the results obtained in the experiment are sensible.
Use the following information to answer the next question.
Two mirrors meet an angle, a, of 105°. A ray of light is incident upon mirror A at an angle, i, of
42°. The ray of light reflects off mirror B and then enters water, as shown below:
Incident
ray at A
Note: This diagram is not to
scale.
a
Air (n = 1.00)
Water (n = 1.34)
1) Determine the angle of refraction of the ray of light in the water.
B
Hi can u please solve
6. Bending a lens in OpticStudio or OSLO. In either package, create a BK7 singlet lens of 10 mm semi-diameter
and with 10 mm thickness. Set the wavelength to the (default) 0.55 microns and a single on-axis field point at
infinite object distance. Set the image distance to 200 mm. Make the first surface the stop insure that the lens
is fully filled (that is, that the entrance beam has a radius of 10 mm). Use the lens-maker's equation to
calculate initial glass curvatures assuming you want a symmetric, bi-convex lens with an effective focal length
of 200 mm. Get this working and examine the RMS spot size using the "Text" tab of the Spot Diagram analysis
tab (OpticStudio) or the Spd command of the text widnow (OSLO). You should find the lens is far from
diffraction limited, with a spot size of more than 100 microns.
Now let's optimize this lens. In OpticStudio, create a default merit function optimizing on spot size.Then insert
one extra line at the top of the merit function. Assign the…
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