光學 OP02

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光學CH02練習題

Problem 1

A small source of light at the bottom face of a rectangular glass slab \(2.25 cm\) thick is viewed from above. Rays of light totally reflected at the top surface outline a circle of \(7.60 cm\) diameter on the bottom surface. Determine the refractive index of the glass.

the refractive index of the glass=_____
可嘗試次數(no. of submission)= 3

01

Problem 2

A meter stick lies along the optical axis of a convex mirror of focal length 40 cm, with its nearer end 60 cm from the mirror surface. How long is the image of the meter stick? (01小題)

the image of the meter stick=______cm
可嘗試次數(no. of submission)= 3

02

Problem 3

A sphere \(5cm\) in diameter has a small scratch on its surface. When the scratch is viewed through the glass from a position directly opposite, where does the scratch appear and what is its magnification? Assume \(n=1.50\) for the glass. (02小題)

where does the scratch appear=______cm
可嘗試次數(no. of submission)= 3

03

its magnification=______
可嘗試次數(no. of submission)= 3

04

Problem 4

A plano-convex lens having a focal length of 25.0 cm is to be made with glass of refractive index 1.520. Calculate the radius of curvature of the grinding and polishing tools to be used in making this lens. (01小題)

the radius of curvature=_____cm
可嘗試次數(no. of submission)= 3

05

Problem 5

A convex thin lens with refractive index of 1.50 has a focal length of 30 cm in air. When immersed in a certain transparent liquid, it becomes a negative lens with a focal length of 188 cm. Determine the refractive index of the liquid. (01小題)

the refractive index of the liquid=______
可嘗試次數(no. of submission)= 3

06

Problem 6

Light rays emanating in air from a point object on axis strike a plano-cylindrical lens with its convex surface facing the object. Describe the line image by length and location if the lens has a radius of curvature of 5cm, a refractive index of 1.60, and an axial length of 7cm. The point object is 15cm from the lens. (02小題)

the line image by length=______cm
可嘗試次數(no. of submission)= 3

07

the line image by location=______cm
可嘗試次數(no. of submission)= 3

08

Problem 7

Consider the plano-convex cylindrical lens in problem 2-36. If the point object is only 6cm from the lens, describe the line image. (02小題)

the line image by length=______cm
可嘗試次數(no. of submission)= 3

09

the line image by location=______cm
可嘗試次數(no. of submission)= 3

10

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