1.

What is the minimum length of a plane mirror required for a person of height 2m to see his full image? Is there any restriction on the position of the top edge of the mirror?

Answer»

Solution :The man can view his entire image if the light RAYS from the top of his head and from his feet reach his eye.
Let AB be the mirror. PQ represents the man of height h and R is the position of his eyes. Light rays from P gets reflected at A and reach his eyes. Light from Q gets reflected at B and reaches his eyes. AM and BN are NORMALS to the mirror AB.
Now, AB=MN=MR+ RN`(PQ)/2=h/2`
Hence the LENGTH of the mirror =`h/2=1m`


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