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1. An object that is 4.0 cm high and is placed 50 cm in front of a magnifying mirror with a radius of curvature of 20.0 cm. (11 marks). a. Calculate the focal length of the mirror. R=2F 20=2F 10=F 10cm b. Using formulas from this lesson, calculate: i The image location. ii. The magnification of the image. c. State two characteristics of the image that is produced.

Question

1. An object that is 4.0 cm high and is placed 50 cm in front of a magnifying mirror with a radius of curvature of 20.0 cm. (11 marks). a. Calculate the focal length of the mirror. R=2F 20=2F 10=F 10cm b. Using formulas from this lesson, calculate: i The image location. ii. The magnification of the image. c. State two characteristics of the image that is produced.

1. An object that is 4.0 cm high and is placed 50 cm in front of a magnifying mirror
with a radius of curvature of 20.0 cm. (11 marks).
a. Calculate the focal length of the mirror.
R=2F 20=2F 10=F
10cm
b. Using formulas from this lesson, calculate:
i The image location.
ii. The magnification of the image.
c. State two characteristics of the image that is produced.

Solution

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ThaddeusMaster · Tutor for 5 years

Answer

a. $f = 10 \, \text{cm}$ <br /><br />b.i. $\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \implies \frac{1}{10} = \frac{1}{5} + \frac{1}{d_i} \implies d_i = 10 \, \text{cm}$ <br /><br />b.ii. $M = -\frac{d_i}{d_o} \implies M = -\frac{10}{5} \implies M = -2$ <br /><br />c. The image is inverted and real.
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