A concave mirror of focal length 20cm forms a real image at a distance of 40cm find the position of the object
Answers
Focal length(f) = -20cm
Image distance (v)=-40cm
From mirror formula
1/v +1/u=1/f
-1/40+1/u=-1/20
u=-40cm
Position of the object - negative (-) sign of u indicates that the object is placed in front of the mirror at a distance of 40cm.........ans✌✌✌✌
The position of the object is found to be 40 cm in front of the concave mirror.
Concave Mirror
A diverging mirror with a convex reflective surface bulges towards the light source is known as a convex mirror.
Mirror Formula:
where,
'u' is the distance of object from the pole of mirror.
'v' is the distance of image from the pole of the mirror.
'f' is the focal length of the mirror.
Given:
Negative sign shows that the distance are measured in the directions opposite to the light.
Focal length of the concave mirror is -20cm.
Image distance if found to be -40cm.
Applying mirror formula,
Taking reciprocal, we get
u = - 40 cm.
Therefore, the distance at which object was kept was 40 cm in front of the mirror.
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