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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Ray Optics

NEET 2021 · Physics · Ray Optics

A point object is placed at a distance of 60cm from a convex lens...

A point object is placed at a distance of 60cm60cm from a convex lens of focal length 30cm30cm. If a plane mirror were put perpendicular to the principal axis of the lens and at a distance of 40cm40cm from it, the final image would be formed at a distance of :

A point object is placed at a distance of 60cm from a convex lens of focal length 30cm . If a plane mirror were put

Options

  1. A20cm20cm from the lens, it would be a real image.
  2. B30cm30cm from the lens, it would be a real image.
  3. C30cm30cm from the plane mirror, it would be a virtual image.
  4. D20cm20cm from the plane mirror, it would be a virtual image.

Correct answer

D. 20cm20cm from the plane mirror, it would be a virtual image.

Step-by-step solution

first, for image formation from lens
u=−60cmu = - 60cm

f=+30cmf = + 30cm

⇒v=ufu+f=−60×30−60+30=60cm⇒ v = \dfrac{uf}{u + f} = \dfrac{- 60 \times 30}{- 60 + 30} = 60cm

A point object is placed at a distance of 60cm from a convex lens of focal length 30cm . If a plane mirror were put

this real image formed by lens acts as virtual object for mirror

Real image from plane mirror is formed 20cm20cm in front of mirror, hence at 20cm20cm distance from lens. Now, for second refraction from lens, u=−20cmu = - 20cm

f=+30cmf = + 30cm

v=ufu+f=−20×30−20+30=−60cmv = \dfrac{uf}{u + f} = \dfrac{- 20 \times 30}{- 20 + 30} = - 60cm

So, final virtual image is 60cm60cm from lens, or 20cm20cm behind mirror

A point object is placed at a distance of 60cm from a convex lens of focal length 30cm . If a plane mirror were put

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