Problem 41.
Light of wavelength 500 nm diffracts through a slit of width and onto a screen that is 1.2 m away. On the screen, what is the distance between the center of the diffraction pattern and the third diffraction minimum?
Solution
Problem 42.
Light in vacuum is incident on the surface of a glass slab. In the vacuum the beam makes an angle of with the normal to the surface, while in the glass it makes an angle of with the normal. What is the index of refraction of the glass?
Solution
Problem 43.
A point source of light is 60 cm below the surface of water. Find the diameter of circle at the surface through which light emerges from the water.
Solution
Problem 44.
The index of refraction of liquid is 1.9. What is the critical angle for a light ray travelling in the liquid toward a flat layer of air?
Solution
Problem 45.
A light ray is perpendicular to the face AB of a glass prism (index of refraction = 1.4). Find the largest value for angle so that the ray is totally reflected at face BC. The prism is immersed in air.
Solution
Problem 46.
A light ray enters a glass slab at incident angle as shown in the figure. Then it undergoes total internal reflection. What is the minimum value of the index of refraction of the slab?
Solution
Problem 47.
A lens is made of glass with index of refraction 1.5. One side of the lens is flat, and the other is convex with the radius of curvature of 30 cm. What is the focal length of the lens?
Solution
Problem 48.
An object is placed 40 cm in front of the lens with the focal length of 50 cm. Where is the image located? The height of the object is 1 cm. What is the height of the image?
Solution
Problem 49.
An object is placed 70 cm in front of the lens with the focal length of 50 cm. Find the position of the image. If the height of the object is 1 cm, then what is the height of the image?
Solution
Problem 50.
An object is placed 40 cm in front of the lens. The focal length of the lens is 10 cm. Find the position and the height of the image. The height of the object is 2 cm.
Solution
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