Question

What effect would determine the minimum radius of curvature for an uncoated optical fiber if it is to carry a light beam with minimum loss?

Answer #1

Consider an optical fiber with an index of refraction of 1.26.
You are positioning a laser beam to enter the flat end of the
optical fiber. As the laser light approaches the air to optical
fiber boundary, what is the maximum angle of incidence if the beam
is not to escape from the fiber?

1) A plano-convex lens having a radius of curvature of
r = 2.20 m is placed on a concave glass surface whose radius of
curvature is R = 13.0 m as shown in the figure below. Assuming
515-nm light is incident normal to the flat surface of the lens,
determine the radius of the 100th bright ring.
cm
2)
Light of wavelength 589.0 nm illuminates a slit of width 0.80
mm.
(a) At what distance from the slit should a...

a) What is a mirror's radius of curvature if cars 17.0 m away
appear 0.27 their normal size? Follow the sign conventions. b) A
diver shines a flashlight upward from beneath the water (n
= 1.33) at a 31.2 ∘ angle to the vertical. At what angle does the
light leave the water?

4. Fill in the blanks
a. As per the USACE, what radius of curvature would you suggest
for large ditches with top width = 11 m if the longitudinal slope
is 0.0004? Please report the result in meter.
b. Consider a channel with bend angle 1200. If the average
velocity in a channel is 6 ft/sec and velocity at 20% slope is 7.2
ft/sec, what centerline radius do you recommend if the water
surface width is 15ft? Consider the bottom...

Answer completely and correctly for good
rating.
A convex mirror has a radius of curvature whose magnitude is 51
cm. The mirror is positioned on a horizontal optical bench with its
front surface at 0 cm. A 7.0 cm long fluorescent lamp oriented
vertically is placed at +108 cm. 1.)What is the focal length of the
mirror?
2.)At what distance from the mirror can we find a sharp image of
the lamp? Tries 0/5 How tall is the image of...

Q2: Fricke dosimeters
First case
A Fricke solution yields an optical density of 1.2.
a) What is the percentage of light transmitted through the
Fricke solution?
b) Calculate the concentration of ferric ions assuming that the
molar extinction coefficient
is 2174 M-1cm-1 at 25 degree C in a cuvette 1cm thick.
Second case
One liter of Fricke solution at 25 degree C is irradiated by
1MeV electron beam collimated to an aperture of 2cm in radius for 1
minute.
If...

Rays pass through a semi-circular, plano-convex lens with a
radius of curvature of 7.62 cm. As light rays incident on the flat
side of the lens and exit through the circular side, a ray incident
along a line parallel to the axis of the lens is 2.00 cm above or
below that axis would converge to a focus 18.90 cm from the
geometric center of the lens. What is the effective index of
refraction for the material the lens is...

What is a ray diagram? What is the minimum number of rays needed
to draw a ray diagram. In your answer be sure to address the
following for concave and convex mirrors:
a) What happens to rays that are parallel to the principle axis
and are reflected at the mirrors surface?
b) What happens to rays that travel on trajectories that would
take them through the focal point?
c) What happens to rays that travel on trajectories that would
take...

What is the radius of a hydrogen-filled balloon that would carry
a load of 9620 N (in addition to the weight of the hydrogen) when
the density of air is 1.29 kg/m3, and the density of hydrogen is
0.0899 kg/m3?

When designing a study to determine the population mean, what is
the minimum number you would need to survey to be 95% conﬁdent that
the population mean is estimated to within 3 participants? Take the
population standard deviation σ = 15. Will your project sample size
n = 100 be enough? [10 points]

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