(A) Let the side of the glass cube be $L = 21 \ cm$. Let the actual distance of the air bubble from the first face be $x$. Then,its distance from the

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

(A) Let the side of the glass cube be $L = 21 \ cm$. Let the actual distance of the air bubble from the first face be $x$. Then,its distance from the opposite face is $(L - x)$.When viewed from the first face,the apparent distance is $d_1 = x / \mu = 8 \ cm$,so $x = 8\mu$.When viewed from the opposite face,the apparent distance is $d_2 = (L - x) / \mu = 6 \ cm$,so $L - x = 6\mu$.Adding the two equations: $x + (L - x) = 8\mu + 6\mu$,which gives $L = 14\mu$.Given $L = 21 \ cm$,we have $21 = 14\mu$,so $\mu = 21 / 14 = 1.5$.Substituting $\mu = 1.5$ into $x = 8\mu$,we get $x = 8 \times 1.5 = 12 \ cm$.

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

Medium

$A$ glass cube of length $21 \ cm$ has a small air bubble trapped inside. When viewed normally from one face,its apparent distance is $8 \ cm$. When viewed normally from the opposite face,its apparent distance is $6 \ cm$. The refractive index of the glass and the actual distance of the air bubble from the first surface respectively are:

MHT CET 2025 All MHT CET

A
$1.5, 12 \ cm$
B
$1.55, 14 \ cm$
C
$1.6, 11 \ cm$
D
$1.5, 9 \ cm$

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

MHT CET 2025 Paper All MHT CET years →

$A$ microscope is focused on a mark on a piece of paper and then a slab of glass of thickness $3\, cm$ and refractive index $1.5$ is placed over the mark. How should the microscope be moved to get the mark in focus again?

MediumAIPMT 2006

View Solution

$A$ rectangular glass block is placed on a mark made on the surface of a table and is viewed from a vertical direction. If the refractive index of the glass is $\mu$ and its thickness is $d$,by what distance will the mark appear to be raised?

Medium

View Solution

An air bubble in a glass slab of thickness $15 \, cm$ appears to be at $6 \, cm$ from one side and at $4 \, cm$ from the opposite side. The refractive index of the glass is:

Difficult

View Solution

What is the time taken (in seconds) for light to cross a glass slab of thickness $4 \ mm$ and refractive index $\mu = 3$?

Easy

View Solution

$A$ ray of light is incident from air on a glass plate having thickness $\sqrt{3} \, cm$ and refractive index $\sqrt{2}$. The angle of incidence of the ray is equal to the critical angle for the glass-air interface. The lateral displacement of the ray when it passes through the plate is $....... \times 10^{-2} \, cm$ (given $\sin 15^{\circ} = 0.26$).

MediumJEE MAIN 2023

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

$A$ microscope is focused on a mark on a piece of paper and then a slab of glass of thickness $3\, cm$ and refractive index $1.5$ is placed over the mark. How should the microscope be moved to get the mark in focus again?

$A$ rectangular glass block is placed on a mark made on the surface of a table and is viewed from a vertical direction. If the refractive index of the glass is $\mu$ and its thickness is $d$,by what distance will the mark appear to be raised?

An air bubble in a glass slab of thickness $15 \, cm$ appears to be at $6 \, cm$ from one side and at $4 \, cm$ from the opposite side. The refractive index of the glass is:

What is the time taken (in seconds) for light to cross a glass slab of thickness $4 \ mm$ and refractive index $\mu = 3$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module