Optics Answers

1. An object 6 cm tall is placed 9 cm in front of a concave mirror that has a focal length of 18cm. Round your answers to 2 decimal places.  

a) Calculate the image distance. [3 marks]

b) Calculate the image height. [2 marks]

An object 6 cm tall is placed 9 cm in front of a concave mirror that has a focal length of 18cm. Round your answers to 2 decimal places.  

A lens system is composed of two lenses. Lens A has a refractive power of +9.25 D and lens B has a refractive power of −3.75 D. An object is located 235 mm in front of Lens A. The focused image of the lens system is located exactly 30 cm behind Lens B. The lenses are suspended in air. Calculate the distance between the two lenses. (5 marks)

A small alien species with many tiny eyes is discovered. After analysis, we learn that light is focused on their transparent retina after being reflected off a concave mirror located at the back of their eyes. Assuming the eyes of this species only consist of a concave mirror with a radius of curvature of 420 µm immersed in a medium with a refractive index of 1.492:

a) Calculate the refractive power of the alien eye. (2 marks)

b) Where should the retina be placed to obtain the sharpest possible image for an object located 1.25 mm in front of the mirror? (3 marks)

A small alien species with many tiny eyes is discovered. After analysis, we learn that light is focused on their transparent retina after being reflected off a concave mirror located at the back of their eyes. Assuming the eyes of this species only consist of a concave mirror with a radius of curvature of 420 µm immersed in a medium with a refractive index of 1.492:

a) Calculate the refractive power of the alien eye. (2 marks)

A container with glass walls has oil inside. The total length,  of the containers is 14 cm. The walls of the container have a thickness () of 25 mm and a refractive index of 1.58. The container is surrounded by air (n = 1), and the oil inside the container has a refractive index of 1.42. The angle of incidence,  is 30º. Calculate the lateral shift, x, for this container. (5 marks)

Knowing that the minimum angle of deviation for the same prism is 30º, calculate the refractive index of the prism and the new angle of incidence at the first surface.

(3 marks)

Q2. A prism made of glass is surrounded by air.

a) Calculate the apical angle if the maximum angle of deviation for this prism is 65º, and it occurs when the angle of incidence at the first surface is 35º. (2 marks)

Two horizontal plane mirrors with equal length, L = 1 m, are separated by a distance h. A laser light is incident from the left edge of the bottom mirror and makes an angle of 60° with the horizontal. The beam gets reflected five times from the top mirror before emerging from the right edge of the bottom mirror as shown below. What is the total distance covered by the laser between the two mirrors?

A long narrow slit of width 50  m is covered by a thin slide of glass of refractive index 1.5 and thickness of 0.5

 m, so that it covers half the slit from 0 to 25  m. Calculate the corresponding Fraunhofer diffraction pattern

when the slit is illuminated by a normally incident plane wave of wavelength 0.5  m.