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Question
An object placed 50 cm from a lens produces a virtual image at a distance of 10 cm in front of the lens. Draw a diagram to show the formation of image and calculate the focal length of the lens
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Solution
Given:
u = -50 cm
v = -10 cm
f = ?
Solve:
→ Applying lens formula:
1/v−1/u=1/f
(1/−10)−(1/−50)=1/f
1/f=(1/−10)+(1/50)
1/f=(−5+1)/50
=−4/50
→ f=−50/4
=−12.5 cm
u = -50 cm
v = -10 cm
f = ?
Solve:
→ Applying lens formula:
1/v−1/u=1/f
(1/−10)−(1/−50)=1/f
1/f=(1/−10)+(1/50)
1/f=(−5+1)/50
=−4/50
→ f=−50/4
=−12.5 cm
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