THIN LENS FORMULA
 
 
 
FOR CONCAVE LENS
Consider an object placed in front of a concave lens of focal length " f " on the principle axis of the lens. Concave lens forms a virtual and erect image at a distance of " q " from the optical centre of the lens as shown in the diagram below.
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Consider similar triangles and
Similarly in similar triangles and
.............
Comparing equation (1) and (2)
p (f - q) = fq
pf - pq = fq
Dividing both sides by "pqf"

1/q - 1/f = 1/p
For a concave lens: f = negative, q = negative , i.e. f = -f and q = -q
Thus,
-1/q + 1/f = 1/p
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