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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Ray Optics

NEET 2021 · Physics · Ray Optics

A convex lens A of focal length 20cm and a concave lens B of focal...

A convex lens AA of focal length 20cm20cm and a concave lens BB of focal length 5cm5cm are kept along the same axis with a distance dd between them. If a parallel beam of light falling on AA leaves BB as a parallel beam, then the distance dd in cmcm will be :A convex lens A of focal length 20cm and a concave lens B of focal length 5cm are kept along the same axis with a

Options

  1. A5050
  2. B1515
  3. C2525
  4. D3030

Correct answer

B. 1515

Step-by-step solution

1F=1f1+1f2−df1f2\dfrac{1}{F} = \dfrac{1}{{f}_{1}} + \dfrac{1}{{f}_{2}} - \dfrac{d}{{f}_{1}{f}_{2}}

∴1∞=120+1−5−d20(−5)∴ \dfrac{1}{\infty} = \dfrac{1}{20} + \dfrac{1}{- 5} - \dfrac{d}{20\left(- 5\right)}

⇒0=120−15+d100⇒ 0 = \dfrac{1}{20} - \dfrac{1}{5} + \dfrac{d}{100}

∴d100=15−120=20−5100∴ \dfrac{d}{100} = \dfrac{1}{5} - \dfrac{1}{20} = \dfrac{20 - 5}{100}

∴d=15cm∴ d = 15cm

From figure it is clear that separation between lenses, d=20−5=15cmd = 20 - 5 = 15cm A convex lens A of focal length 20cm and a concave lens B of focal length 5cm are kept along the same axis with a

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