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CUET · PHYSICS · PYQ PAPER 2023

A convex lens of glass (n = 1.5) has a focal length 18 cm in air. When it is immersed in water (n = 4/3) the focal length increases to:

  1. A 18 cm
  2. B 36 cm
  3. C 54 cm
  4. D 72 cm
Verified Solution

Answer & Solution

Correct Answer

(D) 72 cm

Step-by-step Solution

Detailed explanation

\( \frac{f_m}{f_a} = \frac{(n_g - 1)}{\left( \frac{n_g}{n_m} - 1 \right)} \) \( f_m = 18 \frac{(1.5 - 1)}{\left( \frac{1.5}{4/3} - 1 \right)} = 18 \frac{0.5}{\left( \frac{4.5}{4} - 1 \right)} \) \( f_m = 18 \frac{0.5}{0.125} = 18 \times 4 \) \( f_m = 72 \text{ cm} \)
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