A point charge Q = +4.00 μ C is held fixed al the origin. A second point charge q = +1.20 μ C with mass of 2.80 × 10 −4 kg is placed on the x axis, 0.250 m from the origin. (a) What is the electric potential energy U of the pair of charges? (Take U to be zero when the charges have infinite separation.) (b) The second point charge is released from rest. What is its speed when its distance from the origin is (i) 0.500 m; (ii) 5.00 m; (iii) 50.0 m?
A point charge Q = +4.00 μ C is held fixed al the origin. A second point charge q = +1.20 μ C with mass of 2.80 × 10 −4 kg is placed on the x axis, 0.250 m from the origin. (a) What is the electric potential energy U of the pair of charges? (Take U to be zero when the charges have infinite separation.) (b) The second point charge is released from rest. What is its speed when its distance from the origin is (i) 0.500 m; (ii) 5.00 m; (iii) 50.0 m?
A point charge Q = +4.00 μC is held fixed al the origin. A second point charge q = +1.20 μC with mass of 2.80 × 10−4 kg is placed on the x axis, 0.250 m from the origin. (a) What is the electric potential energy U of the pair of charges? (Take U to be zero when the charges have infinite separation.) (b) The second point charge is released from rest. What is its speed when its distance from the origin is (i) 0.500 m; (ii) 5.00 m; (iii) 50.0 m?
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…
Chapter 18 Solutions
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