AIIMS 201926 May
- Exam
- AIIMS
- Year
- 2019
- Date
- 26 May
- Subject
- Physics
- Chapter
- Ray Optics
AIIMS 2019 · 26 May · Physics · Ray Optics
A bi-convex lens is formed with two thin plano-convex lenses as...
A bi-convex lens is formed with two thin plano-convex lenses as shown in the figure. Refractive index of the first lens is 1.5 and that of the second lens is 1.2. Both the curved surfaces are of the same radius of curvature . For this bi-convex lens, for an object distance of , the image distance will be

Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
According to lens maker's formula
\left(\frac{1}{R_1}-\frac{1}{R_2}\right)n=1.5, R_1=+14 \mathrm{~cm}, R_2=\infty
\therefore \quad \frac{1}{f_1}=(1.5-1)
For the second lens :
\left(\frac{1}{\infty}-\frac{1}{-14}\right)=\frac{0.2}{14}\frac{1}{f}=\frac{1}{f_1}+\frac{1}{f_2}=\frac{0.5}{14}+\frac{0.2}{14}=\frac{0.7}{14}=\frac{1}{20}\frac{1}{v}-\frac{1}{u}=\frac{1}{f}
\Rightarrow \frac{1}{v}-\frac{1}{-40}=\frac{1}{20}v=40 \mathrm{~cm}