Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Geometrical Optics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Geometrical Optics
The radii of curvature of a lens are +20 cm and +30 cm . The...
The radii of curvature of a lens are and . The refracting index of the lens material is . Find the focal length of the lens if it is placed in water ().
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Using the lens maker's formula:
\dfrac{1}{f} = \left(\dfrac{\mu_l}{\mu_m} -1 \right) \left(\dfrac{1}{R_1} - \dfrac{1}{R_2} \right)
Given , \dfrac{4}{3}, , and .
Substituting the values:
\dfrac{1}{f} = \left( \dfrac{1.6}{4/3} - 1 \right) \left( \dfrac{1}{20} - \dfrac{1}{30} \right)\dfrac{1}{f} = \left( 1 \right) \left( \dfrac{3 - 2}{60} \right)<br><br>\dfrac{1}{f} = (1.2 - 1) \times 0.2 \times f = 300 \text{ cm}
\dfrac{1}{f} = \left(\dfrac{\mu_l}{\mu_m} -1 \right) \left(\dfrac{1}{R_1} - \dfrac{1}{R_2} \right)
Given , \dfrac{4}{3}, , and .
Substituting the values:
\dfrac{1}{f} = \left( \dfrac{1.6}{4/3} - 1 \right) \left( \dfrac{1}{20} - \dfrac{1}{30} \right)\dfrac{1}{f} = \left( 1 \right) \left( \dfrac{3 - 2}{60} \right)<br><br>\dfrac{1}{f} = (1.2 - 1) \times 0.2 \times f = 300 \text{ cm}