A concave mirror has a focal length of 4 cm and an object 2 cm tall is placed 9 cm away from it. Find the nature and position of the image formed.

Jase Bentley

Jase Bentley

Answered question

2022-12-31

A concave mirror has a focal length of 4 cm and an object 2 cm tall is placed 9 cm away from it. Find the nature and position of the image formed.

Answer & Explanation

kunstgrenwa3

kunstgrenwa3

Beginner2023-01-01Added 7 answers

Focal length = f = - 4 cm
Height of object = + 2 cm
Object distance = u = - 9 cm
Image distance = v = ?
Height of image = size = h' = ?
From thew mirror formula
1 v + 1 u = 1 f

Putting all the values
1 v 1 9 = 1 4

After solving
v=−7.2cm

As a result, the image is created 7.2 cm away from the mirror.

Now for finding magnification
We know,
m = v u

Putting all the values
( 7.2 ) 9

After solving
m=−0.8


As the magnification is negative, the image is real, inverted.




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