Question

A boy of height $1.5\text{m}$ with eye level at $1.4\text{m}$ stands before a plane mirror of length $0.75\text{m}$ fixed on the wall. The height of the lower edge of the mirror above the floor is $0.8\text{m}$. If the boy wants to see his feet in the mirror, then select the correct option.

• A. He will be able to see his feet
• B. He will not be able to see his feet
• C. He will be able to see his feet depend on his distance from mirror
• D. Data insufficient

Answer 1

The correct option is B He will not be able to see his feet

Let $AC$ be the height of the boy, $BC$ be the height of his eyes and $C$ be his feet.


We know that, we can see an object if it lies in the field of view.
Here, from the ray diagram, we can see that, $△BEF\sim △GEF$
$\Rightarrow GE=BE=1.4-0.8=0.6\text{m}$
Here, $EC>EG$, therefore, his feet lies outside the field of view, hence, he cannot see his feet.