The formation of the image by the bottom half of the mirror and its position.

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Answer 1

Question

Chapter 34, Problem 1DQ

To determine

The formation of the image by the bottom half of the mirror and its position.

Expert Solution & Answer

Explanation of Solution

The radius of curvature of the spherical mirror does not change when it is cut horizontally along the optic axis.

For a spherical mirror, the radius of curvature is twice the focal length of the mirror. If the spherical mirror is cut into half in the horizontally along its optic axis, the radius of curvature of the bottom half of the mirror will not change. That means, the radius of the curvature of the bottom half of the mirror will be equal to the twice of its focal length.

Since the radius of curvature and focal length of the mirror is bottom half of the mirror is same as earlier, so the image formation by this mirror will not change. Thus, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Conclusion: Therefore, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

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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

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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…

Answer 2

Question

Chapter 34, Problem 1DQ

To determine

The formation of the image by the bottom half of the mirror and its position.

Expert Solution & Answer

Explanation of Solution

The radius of curvature of the spherical mirror does not change when it is cut horizontally along the optic axis.

For a spherical mirror, the radius of curvature is twice the focal length of the mirror. If the spherical mirror is cut into half in the horizontally along its optic axis, the radius of curvature of the bottom half of the mirror will not change. That means, the radius of the curvature of the bottom half of the mirror will be equal to the twice of its focal length.

Since the radius of curvature and focal length of the mirror is bottom half of the mirror is same as earlier, so the image formation by this mirror will not change. Thus, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Conclusion: Therefore, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

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Answer 3

Question

Chapter 34, Problem 1DQ

To determine

The formation of the image by the bottom half of the mirror and its position.

Expert Solution & Answer

Explanation of Solution

The radius of curvature of the spherical mirror does not change when it is cut horizontally along the optic axis.

For a spherical mirror, the radius of curvature is twice the focal length of the mirror. If the spherical mirror is cut into half in the horizontally along its optic axis, the radius of curvature of the bottom half of the mirror will not change. That means, the radius of the curvature of the bottom half of the mirror will be equal to the twice of its focal length.

Since the radius of curvature and focal length of the mirror is bottom half of the mirror is same as earlier, so the image formation by this mirror will not change. Thus, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Conclusion: Therefore, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

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Answer 4

Question

Chapter 34, Problem 1DQ

To determine

The formation of the image by the bottom half of the mirror and its position.

Expert Solution & Answer

Explanation of Solution

The radius of curvature of the spherical mirror does not change when it is cut horizontally along the optic axis.

For a spherical mirror, the radius of curvature is twice the focal length of the mirror. If the spherical mirror is cut into half in the horizontally along its optic axis, the radius of curvature of the bottom half of the mirror will not change. That means, the radius of the curvature of the bottom half of the mirror will be equal to the twice of its focal length.

Since the radius of curvature and focal length of the mirror is bottom half of the mirror is same as earlier, so the image formation by this mirror will not change. Thus, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Conclusion: Therefore, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

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Answer 5

Chapter 34, Problem 1DQ

To determine

The formation of the image by the bottom half of the mirror and its position.

Expert Solution & Answer

Explanation of Solution

The radius of curvature of the spherical mirror does not change when it is cut horizontally along the optic axis.

For a spherical mirror, the radius of curvature is twice the focal length of the mirror. If the spherical mirror is cut into half in the horizontally along its optic axis, the radius of curvature of the bottom half of the mirror will not change. That means, the radius of the curvature of the bottom half of the mirror will be equal to the twice of its focal length.

Since the radius of curvature and focal length of the mirror is bottom half of the mirror is same as earlier, so the image formation by this mirror will not change. Thus, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Conclusion: Therefore, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Answer 6

Chapter 34, Problem 1DQ

To determine

The formation of the image by the bottom half of the mirror and its position.

Expert Solution & Answer

Explanation of Solution

The radius of curvature of the spherical mirror does not change when it is cut horizontally along the optic axis.

For a spherical mirror, the radius of curvature is twice the focal length of the mirror. If the spherical mirror is cut into half in the horizontally along its optic axis, the radius of curvature of the bottom half of the mirror will not change. That means, the radius of the curvature of the bottom half of the mirror will be equal to the twice of its focal length.

Since the radius of curvature and focal length of the mirror is bottom half of the mirror is same as earlier, so the image formation by this mirror will not change. Thus, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Conclusion: Therefore, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Answer 7

Chapter 34, Problem 1DQ

To determine

The formation of the image by the bottom half of the mirror and its position.

Answer 8

Expert Solution & Answer

Explanation of Solution

The radius of curvature of the spherical mirror does not change when it is cut horizontally along the optic axis.

For a spherical mirror, the radius of curvature is twice the focal length of the mirror. If the spherical mirror is cut into half in the horizontally along its optic axis, the radius of curvature of the bottom half of the mirror will not change. That means, the radius of the curvature of the bottom half of the mirror will be equal to the twice of its focal length.

Since the radius of curvature and focal length of the mirror is bottom half of the mirror is same as earlier, so the image formation by this mirror will not change. Thus, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.

Conclusion: Therefore, the bottoms half of the spherical mirror will formed an image identical to the image that formed before it were cut.