An object of height 3 cm is placed at a distance of 24 cm from a convex lens of focal length 10 cm, when an image is formed on the screen on the other side of the lens. Calculate the distance of the screen from the lens
Answers
Answer:
10 cm, when an image is formed on the screen on the other side of the lens. Calculate (a) the distance of the screen from the lens (b) the size of image (c) the characteristics of image
[(a) v = 17.14 cm; (b) I = 2.14 cm
(c) Real, inverted and diminished)
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Answer:
Explanation:
h1 = 3 cm
u = -24 cm
f = 8 cm
Lens formula : 1/v – 1/u = 1/f
1/v – 1/-24 = 1/8
1/v = 1/12
V = 12 cm
Image is formed 12 cm behind the lens.
m = v/u = h2/h1
12/-24 = h2/3
h2 = -1.5 cm
Image is 1.5 cm high, real and inverted.
(b) u = - 3 cm
h1 = 3 cm
f = 8 cm
Lens formula : 1/v – 1/u = 1/f
1/v – 1/-3 = 1/8
1/v = - (5/24)
V = -4.8 cm
Image is formed 4.8 cm in front of the lens.
m = v/u = h2/h1
-4.8/-3 = h2/3
h2 = + 4.8 cm
Image is 4.8 cm high, virtual and erect.
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