An object of size 4cm is kept at a distance of 20cm from the optical center of a converging lens of a focal length 10cm. Calculate the distance of image from the lens and the size of the image
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Answer:
-1.3cm
Explanation:
GIVEN DATA:
object size=4cm
object distance=20cm
focal lenght of converging lens=10cm
TO FIND:
distance of the image=?
size of the image=?
SOLUTION:
first we find distance ,as we know
1/f=1/p+1/q
to find image distance ,rearrange formula ,so we get:
1/q=1/f-1/p
now put values:
1/q=1/10-1/4
1/q=40/6cm
now q=6.667
it is image distance.
now to find size of image ,we know
height of image /height of object=image distance/object distance
so put values:
hi/4=6.667/-20
hi=4*6.667/-20
hi=-1.3cm
minus comes due to converging lens
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