Question

Suppose you are standing 1 m in front of a plane mirror. What should be the minimum vertical size of the mirror so that you can see your full image in it?; 1) twice your height; 2) 2m; 3) 0.50 m; 4) half of your height

Answer 1

Answer:

half of your height,because angle of incidence is equal to angle of reflection

Answer 2

The mirror size is half of the object's height.

Given,

The distance between the mirror and the person  = 1m.

To Find,

The minimum vertical size of the mirror.

Solution,

Given that, the person and the mirror are 1m distance apart.

From the image, it is clear that the distance between the object and the mirror is 2m.

And can calculate the height of the image 'h' by the equation,

tan Φ = $\frac{height of the object}{image and object distance}$

tan Ф = $\frac{h}{2}$

Like that, can take

tan Ф = $\frac{image height}{distance between object and mirror}$

tan Ф = $\frac{image height}{1}$

Comparing two equations,

$\frac{image height}{1}$  = $\frac{h}{2}$

Thus, image height = h/2.

Hence, the mirror needs a minimum of half of the object's height standing in front of the mirror.

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