A boy 1.5 m tall with his eye level at 1.38 m stands before a mirror fixed on a wall. The minimum length of mirror required to view the complete image of boy is

Question

A boy 1.5 m tall with his eye level at 1.38 m stands before a mirror fixed on a wall. The minimum length of mirror required to view the complete image of boy is (A) 0.75 m (B) 0.06 m (C) 0.69 m (D) 0.12 m

Tardigrade Admin · Accepted Answer

Let A B represents the boy with height A B=1.5 m and C represents the eye level. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2743cce0d6b7bf38fe4faad9ebb40bb6-.png" /> Let M N represents the minimum height of the mirror. ⇒ M N=F C+C E =((B C/2))+((A C/2))=0.06+0.69 ∴ MN =0.75 m

Q. A boy $1.5 m$ tall with his eye level at $1.38 m$ stands before a mirror fixed on a wall. The minimum length of mirror required to view the complete image of boy is

$0.75 m$

$0.06 m$

$0.69 m$

$0.12 m$

Let $A B$ represents the boy with height $A B = 1.5 m$ and $C$ represents the eye level.

Let $MN$ represents the minimum height of the mirror.
$\Rightarrow MN = FC + CE$
$= (\frac{BC}{2}) + (\frac{A C}{2}) = 0.06 + 0.69$
$∴ MN = 0.75 m$

Q. A boy 1.5m tall with his eye level at 1.38m stands before a mirror fixed on a wall. The minimum length of mirror required to view the complete image of boy is

0.75m

0.06m

0.69m

0.12m