. A concave lens has focal length of 20 cm. At what distance from the lens a 5 cm tall object be placed so that it forms an image at 15 cm from the lens? Also calculate the size of the image formed.
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Answer:
Initial velocity :- -60 cm
Height :- 1.25 cm
Given:
• f = -20cm
• h1 = 5 cm
• v = -15 cm (Concave lens forms virtual image)
Solution:
→ 1/v – 1/u = 1/f
→ 1/-15 – 1/u = 1/-20
→ 1/u = -(1/15) + 1/20
→ 1/u = -1/60
→ u = -60 cm
Object should be placed 60 cm to the left of the lens.
→ m = v/u = h2/h1
→ -15/-60 = h2/5
→ h2 = 1.25 cm
Image formed is 1.25 cm high.
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