A container contains a liquid with refractive index of 1.2 up to a...

A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the position of bottom of container is 40 cm. The value of H is ______ cm.
(Consider liquids are immisible) $A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive$

Correct answer

Step-by-step solution

$A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive$

y=

apparent depth of bottom

\frac{\mathrm{y}}{1}=\frac{\mathrm{H}}{1.6}+\frac{60}{1.2}

Shift

=40

H+60-y=40

\mathrm{H}+60-\frac{\mathrm{H}}{1.6}-\frac{60}{1.2}=40

\frac{6}{16} \mathrm{H}=30

\mathrm{H}=80 \mathrm{~cm}

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 Main PYQs