an object 3 cm high is placed perpendicular to the principal axis of a concave lens of focal length 15 CM the image is formed at a distance of 10 cm from the lens calculate distance at which object is placed V size and nature of image formed
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nature of the image:
1)virtual,erect
2) diminished
1)virtual,erect
2) diminished
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Answer:
object distance (u) = 30cm
image height = 1cm
Explanation:
height of the object(ho)= 3 cm
focal length(f) = 15cm
image distance (v)= 10cm
1/v - 1/u = 1/ f
-1/u = 1/f - 1/v
-1/u = 1/15-1/10
-1/u = 2-3/30
-1/u = - 1/30
1/u = 1/30
u= 30cm (ans)
m= v/u = hi/ ho
v/u=hi/ho
10/30=hi/3
1/3=hi/3
by cross multiplication
3=3hi
hi=3/3
hi=1 cm (ans)
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