A large square container with thin transparent vertical walls and filled with water (refractive index(4)/(3)) is kept on a horizontal table. A student holds a thin straight wire vertically inside the water 12cm from one

JEE Advanced 2020Paper 2

Exam: JEE Advanced
Year: 2020
Paper: Paper 2
Subject: Physics
Chapter: Ray Optics

JEE Advanced 2020 · Paper 2 · Physics · Ray Optics

A large square container with thin transparent vertical walls and...

A large square container with thin transparent vertical walls and filled with water $\left(\text{refractive index}\dfrac{4}{3}\right)$ is kept on a horizontal table. A student holds a thin straight wire vertically inside the water $12cm$ from one of its corners, as shown schematically in the figure. Looking at the wire from this corner, another student sees two images of the wire, located symmetrically on each side of the line of sight as shown. The separation (in $cm$ ) between these images is ________.

$A large square container with thin transparent vertical walls and filled with water (refractive index(4)/(3)) is kept$

Correct answer

Step-by-step solution

${P}_{1}O = \dfrac{12}{\sqrt{2}}cm$

$A large square container with thin transparent vertical walls and filled with water (refractive index(4)/(3)) is kept$

${P}_{1}{I}_{1} = \dfrac{12}{\sqrt{2} \times \dfrac{4}{3}} = \dfrac{9}{\sqrt{2}}cm$

$O{I}_{1} = \dfrac{12}{\sqrt{2}} - \dfrac{9}{\sqrt{2}} = \dfrac{3}{\sqrt{2}}; O{I}_{2} = \dfrac{3}{\sqrt{2}}cm$

${I}_{1}{I}_{2} = \dfrac{3}{\sqrt{2}} \times \dfrac{1}{\sqrt{2}} \times 2 = 3$

The above solution is assumed according to the normal incidence. If we consider the actual angle of incidence, i.e., $45 °$ the answer comes to be $3$ .

Practice Ray Optics on Quantrex Academy →

More from Ray Optics

A double convex lens made of glass of refractive index 1.5 and radii of curvature of the… JEE Advanced 2026 A beam of polychromatic light passes through a thin prism of prism angle 6^∘ . The… JEE Advanced 2026 Consider two isosceles prisms 1 and 2 with prism angles A_1 and A_2 and refractive… JEE Advanced 2026 A thin biconvex lens is prepared from the glass ( μ=1.5 ) both curved surfaces of which… JEE Main 2026 Light ray incident along a vector AO ( AO = 2 i -3 j ) emerges out along vector OB ( OB =… JEE Main 2026 Angle of minimum deviation is equal to the half of the angle of prism in an equilateral… JEE Main 2026 A concave mirror of focal length 10 cm forms an image which is double the size of object… JEE Main 2026 A spherical interface lens of radius R separates two media of refractive indices 1 and… JEE Main 2026 Full Ray Optics list All JEE Advanced PYQs