Home
Class 12
PHYSICS
Find the minimum height of a mirror wher...

Find the minimum height of a mirror where one can see his full image.

Text Solution

Verified by Experts

Let `HC` is the height of the person and `E` is the position of his eyes. Now applying laws of reflection,

we have, `M'L' = (1)/(2) EL r FAK MH' = (1)/(2) HE`
Now, `H'L = MM' - MH' - L' M'`
`= HL - (1)/(2) EL - (1)/(2) HE = HL - (1)/(2) HL = (1)/(2) HC`
So the required height of the mirror be half of the height of the person.
Promotional Banner

Similar Questions

Explore conceptually related problems

The height of a person is 170cm. What is the minimum length of a plane mirror in which he can see his full image (in cm)?

Find the minimum size of mirror required to see the full image of a wall behind a man standing at the centre of room, where H is the height of wall.

Find the minimum height of a mirror required to see the complete wall behind him.

Assertion : When the object moves with a velocity vec(v ) , its image in the plane mirror moves with a velocity of -5 vec( v ) . With respect to the object , Reason : the minimum height of the mirror to be required to see the full image of man of height h is (h)/(3)

Show that the minimum size of a plane mirror required to see the full image of an observer is half the size of that observer.

A student of height 1.9 m can see his full image in a plane mirror fixed on a wall. His eyes are 1.85 m from the floor level. What is the minimum length of the plane mirror required to get the full image of the student ?

A man 160 cm height stands in fromt of a plane mirror . His eyes are at a height of 150 cm from the floor. Then the minimum length of the plane mirror for him to see his full length image is -

Minimum height OF mirror and deviation