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A 12-inch object is placed 30 inches in front of a plane mirror. A ray of light from the object strikes the mirror at a 45-degree angle. How tall is the image produced by the mirror?

A) 12 inches
B) 30 inches
C) 24 inches
D) 45 inches

User Jspizziri
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2 Answers

4 votes

I believe that it is C.24 inches

User Joe Inner
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5 votes

Answer: A. 12inches

Step-by-step explanation:

One of the characteristics of an object placed in front of a plane mirror is that the object distance(u) is equal to the image distance(v) no matter the position of the object from the mirror.

Since object distance is 30 inches, the image distance will be 30inches as will i.e u = v

Using the relationship to get the height of the image

v/u = h1/h0

Where h1 is image height and h0 is object height.

h0 = 12inches

Substituting the values given in the formula we have

30/30 = h1/12

h1 = 12inches.

This means that the image produce by the object is also 12inches tall.

User Amrhassan
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