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JIPMER 2017
Exam
JIPMER
Year
2017
Subject
Physics
Chapter
Ray Optics

JIPMER 2017 · Physics · Ray Optics

A thin symmetrical double convex lens of refractive index μ_2=1.5...

A thin symmetrical double convex lens of refractive index μ2=1.5\mu_2=1.5 is placed between a medium of refractive index μ1=1.4\mu_1=1.4 to the left and another medium of refractive index μ3=1⋅6\mu_3=1 \cdot 6 to the right. Then, the system behaves as

Options

  1. Aa convex lens
  2. Ba concave lens
  3. Ca glass plate
  4. Da convexo concave lens

Correct answer

C. a glass plate

Step-by-step solution

For first refracting surface, For parallel beam of light; −μ1u+μ2V=μ2−1R-\frac{\mu_1}{u}+\frac{\mu_2}{V}=\frac{\mu_2-1}{R}⇒−1⋅4−∞+1⋅5V=1⋅5−1.4RV=15R\begin{aligned} & \Rightarrow-\frac{1 \cdot 4}{-\infty}+\frac{1 \cdot 5}{V}=\frac{1 \cdot 5-1.4}{R} \\ & V=15 R\end{aligned}Forsecondrefractingsurface,For second refracting surface,\begin{aligned} & -\frac{\mu_2}{1.5 R}+\frac{\mu_3}{V^{\prime}}=\frac{\mu_3-\mu_2}{R} \\ & \Rightarrow-\frac{1.5}{15 R}+\frac{1.6}{V^{\prime}}=\frac{1.6-1.5}{R} \Rightarrow V^{\prime}=\infty\end{aligned}$$ Hence, the combination behaves as glass plate.
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