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Ray Optics and Optical Instruments

  1. A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point 15 cm from the lens on the opposite side. If the lens is removed the point where the rays meet will move 5 cm closer to the lens. The focal length of the lens is​​​​
    1. – 10 cm
    2. 20 cm
    3. –30 cm
    4. 5 cm
Correct Option: C


By lens formula,

1
-
1
=
1
vuf

u = 10 cm ​
v = 15 cm ​
f = ? ​
Putting the values, we get
1
-
1
=
1
1510f

10 - 15
=
1
150f

∴ f = -
150
= -30 cm
3



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