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A concave mirror ( R = 56.0 cm) is used to project a transparent slide onto a wa

ID: 1262403 • Letter: A

Question

A concave mirror (R = 56.0 cm) is used to project a transparent slide onto a wall. The slide is located at a distance of 39.0 cm from the mirror, and a small flashlight shines light through the slide and onto the mirror. The setup is similar to that in the figure.

(a) How far from the wall should the mirror be located?
cm

(b) The height of the object on the slide is 1.30 cm. What is the height of the image?
cm
(c) How should the slide be oriented, so that the picture on the wall looks normal?

The slide should be right side up.The slide should be upside down.   

A concave mirror (R = 56.0 cm) is used to project a transparent slide onto a wall. The slide is located at a distance of 39.0 cm from the mirror, and a small flashlight shines light through the slide and onto the mirror. The setup is similar to that in the figure. (a) How far from the wall should the mirror be located? cm (b) The height of the object on the slide is 1.30 cm. What is the height of the image? cm (c) How should the slide be oriented, so that the picture on the wall looks normal? The slide should be right side up.The slide should be upside down.

Explanation / Answer

a)

The mirror equation is

1/ p + 1/ q = 2 / R

1/ q = 2 / R - 1/ p

= 2 / 56 cm - 1/ 39 cm

q = 99.27 cm

b)

height of the image is

h_i = ( - 99.27 / 39 cm ) ( 1.30 cm ) = - 3.30 cm

Imge is real and inverted.

c)

The slide should be right side Up.

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