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A screen is placed 90cm away from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm. Find the focal length of lens.
  • a)
    42.8 cm
  • b)
    21.4 cm
  • c)
    10.7 cm
  • d)
    5.5 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A screen is placed 90cm away from an object. The image of the object o...
The image of the object can be located on the screen for two positions of convex lens such that u and v are exchanged.
The separation between two positions of the lens is d = 20cm

 
From the figure.
u1 + v1 = 90 cm
v1 − u1 = 20 cm
Solving
v1 = 55cm, u1 = 35cm
From lens formula,

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A screen is placed 90cm away from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm. Find the focal length of lens.a)42.8 cmb)21.4 cmc)10.7 cmd)5.5 cmCorrect answer is option 'B'. Can you explain this answer?
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