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Answer:
Known :
The focal length (f) = 15 cm
The plus sign indicates that the focal point is real or the rays pass through the point.
The object height (ho) = 5 cm
The object distance (do) = 5 cm
Wanted : the image distance, the magnification of image, the image height and the properties of image
Solution :
Formation of image by converging lens :
Converging lens – problems and solutions 1
The image distance (di) :
1/di= 1/f – 1/do = 1/15 – 1/5 = 1/15 – 3/15 = -2/15
di= -15/2 = -7.5 cm
The minus sign indicates that the image is virtual or the rays do not pass through the image.
The magnification of image (m) :
m = – di/ do= -(-7.5)/5 = 7.5/5 = 1.5
The plus sign indicates that the image is upright.
The image height (hi) :
m = hi/ ho
hi = m ho = (1.5)5 = 10/3 = 7.5 cm
The plus sign indicates that the image is upright.
The properties of the image
– virtual
– upright
– The image greater than the object
– The image distance is greater than the object distance
Explanation:
Aloha !
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Image Distance:-
1/di=1/f - 1/do
1/di= 1/15-1/5
1/di=1/15-3/15
1/di=1-3/15
1/di=-2/15
di=15/-2
di= -7.5
Magnification:-
m= -di/do
m= -(-7.5)/5
m=7.5/5
m=1.5
Hope it will help you
@ Sweety Adihya
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