(C) The apparent depth $d'$ of the bottom of the container when viewed from above through multiple layers of liquids is given by the formula:$d' = \fr

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) The apparent depth $d'$ of the bottom of the container when viewed from above through multiple layers of liquids is given by the formula:$d' = \frac{h_1}{\mu_1} + \frac{h_2}{\mu_2}$Here,$h_1 = 60 \ cm$,$\mu_1 = 1.2$,$h_2 = H$,and $\mu_2 = 1.6$.So,$d' = \frac{60}{1.2} + \frac{H}{1.6} = 50 + \frac{H}{1.6}$.The actual depth of the bottom is $d = 60 + H$.The apparent shift is given by the difference between the actual depth and the apparent depth:$\text{Shift} = d - d'$$40 = (60 + H) - (50 + \frac{H}{1.6})$$40 = 10 + H - \frac{H}{1.6}$$30 = H(1 - \frac{1}{1.6})$$30 = H(\frac{1.6 - 1}{1.6}) = H(\frac{0.6}{1.6})$$30 = H(\frac{6}{16}) = H(\frac{3}{8})$$H = 30 \times \frac{8}{3} = 80 \ cm$.

Class 12 Physics Ray Optics and Optical Instruments Refraction through Plane Surface and Glass Slab

Medium

$A$ 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 the first liquid. If viewed from above,the apparent shift in the position of the bottom of the container is $40 \ cm$. The value of $H$ is . . . . . . $\ cm$. (Consider liquids are immiscible)

JEE MAIN 2025 All JEE MAIN

A
$20$
B
$30$
C
$80$
D
$10$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Ray Optics and Optical Instruments

Subtopic

Refraction through Plane Surface and Glass Slab

Previous Year

JEE MAIN 2025 Paper All JEE MAIN years →

$AB$ is an object of length $l$ dipped in water at a depth of $d$. It is viewed from air at near-normal incidence. The length of the image is

Medium

View Solution

$A$ glass tumbler having an inner depth of $17.5 \, cm$ is kept on a table. $A$ student starts pouring water $(\mu = 4/3)$ into it while looking at the surface of water from above. When he feels that the tumbler is half-filled,he stops pouring water. Up to what height,the tumbler is actually filled? (In $cm$)

DifficultJEE MAIN 2021

View Solution

$A$ ray of light is incident normally on a glass slab of thickness $5 \ cm$ and refractive index $1.6$. The time taken by a ray to travel from the source of light to the surface of the slab is the same as the time taken to travel through the glass slab. The distance of the source from the surface is: (in $cm$)

EasyMHT CET 2022

View Solution

As shown in the figure,a plane mirror is fixed at a height of $50\,cm$ from the bottom of a tank containing water $\left(\mu = \frac{4}{3}\right)$. The height of water in the tank is $8\,cm$. $A$ small bulb is placed at the bottom of the water tank. The distance of the image of the bulb formed by the mirror from the bottom of the tank is $......\,cm$.

DifficultJEE MAIN 2023

View Solution

$A$ diverging beam of light from a point source $S$ having divergence angle $\alpha$,falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is $t$ and the refractive index is $n$,then the divergence angle of the emergent beam is

MediumIIT 2000

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$AB$ is an object of length $l$ dipped in water at a depth of $d$. It is viewed from air at near-normal incidence. The length of the image is

Vedclass Test Series

Exam Paper Generator

Online Exam Module