Question

# Two transparent media of refractive indices $$\mu_{1}$$ and $$\mu_{3}$$ have a solid lens shaped transparent material of refractive index $$\mu_{2}$$ between them as shown in figures in Column II. A ray traversing these media is also shown in the figures. In Column I different relationship between $$\mu_{1}, \mu_{2}$$ and $$\mu_{3}$$ are given. Match them to the ray diagram shown in Column II.

Solution

## (A) $${ \mu }_{ 1 }<{\mu }_{ 2 }$$ Since there are multiple systems & combination given.SO if $${ \mu }_{ 1 }<{ \mu }_{ 2 }$$,Then convex surface will behave converging & concave surface will behave diverging at that interface ,which can be observed in 1&3.(B) $${ \mu }_{ 1 }>{\mu }_{ 2 }$$ if $${ \mu }_{ 1 }>{ \mu }_{ 2 }$$ then convex surface will behave diverging & concave surface will coverge the rays which can be observed 2,4,5(C) If $${\mu }_{ 2 }={\mu }_{ 3 }$$, then  there will be no deviation in the light ray.At the interface of $${ \mu }_{ 2 }\& { \mu }_{ 3 }$$.Which can be observed in 1,3 &5.(D)If $${ \mu }_{ 2 }>{ \mu }_{ 3 }$$ then convex surface will behave converging & concave surface will behave diverging.Physics

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