A 10 cm long pin lies along the principal axis of a convex lens of focal length 10 centimetre such that the nearer end of the pin is at a distance of 15 cm from the lens find the length of the image of the pin formed by the lens.
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Answer:
Explanation:
length of the object(O) = 10 cm
Focal length of the lens(f)= 10 cm
object distance(u) = - 15 cm
to find: length of the image(I)
image distance(v)=?
1/f = 1/v - 1/u
1/10 = 1/v - 1/-15
1/v = 1/10 + 1/-15
1/v = 0.1 + 1/-15
1/v = ( -1.5 + 1 )/ -15
1/v = -0.5 /-15
v=15/0.5
v= 30 cm
from the relation
I/O=v/u
I/10=30/15
I/10=2
I=20 cm
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