Question

You stand 3.8 m in front of a plane mirror. Your little brother is 1.2 m in front of you, directly between you and the mirror.

Part A

What is the distance from you to your brother's image?

Express your answer to two significant figures and include the appropriate units.

x =

Answer 1

Remember that

For plane mirror if object is at x cm from mirror, then his image will be '-x' cm behind the mirror.

Now given that you brother is 1.2 m in front of you.

distance between mirror and your brother = 3.8 - 1.2 = 2.6 m

Now image of your brother will be '-2.6' m behind mirror

So now distance between you and your brother's image will be

|d| = |distance between you and mirror| + |distance between mirror and your brother's image|

|d| = 3.8 + 2.6 = 6.4 m

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