(C) When a ray of light is incident from the water-air interface at the critical angle $(\theta_{c})$,the refracted ray becomes parallel to the interf

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

(C) When a ray of light is incident from the water-air interface at the critical angle $(\theta_{c})$,the refracted ray becomes parallel to the interface.Given depth $h = \sqrt{7} \ m$ and refractive index $\mu = 4/3$.The radius $R$ of the circular bright patch is given by $R = h \tan \theta_{c}$.Since $\sin \theta_{c} = 1/\mu$,we have $\tan \theta_{c} = \frac{1}{\sqrt{\mu^{2}-1}}$.Substituting the values:$R = \sqrt{7} \times \frac{1}{\sqrt{(4/3)^{2}-1}} = \sqrt{7} \times \frac{1}{\sqrt{16/9-1}} = \sqrt{7} \times \frac{1}{\sqrt{7/9}} = \sqrt{7} \times \frac{3}{\sqrt{7}} = 3 \ m$.

Class 12 Physics Ray Optics and Optical Instruments Critical Angle and Total Internal Reflection

Medium

$A$ point source of light is kept below the surface of water $(n_{w} = 4/3)$ at a depth of $\sqrt{7} \ m$. The radius of the circular bright patch of light noticed on the surface of water is

KCET 2012 All KCET

A
$\sqrt{7} \ m$
B
$\frac{3}{\sqrt{7}} \ m$
C
$3 \ m$
D
$\frac{\sqrt{7}}{3} \ m$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Ray Optics and Optical Instruments

Subtopic

Critical Angle and Total Internal Reflection

Previous Year

KCET 2012 Paper All KCET years →

The critical angle of light going from medium $A$ to medium $B$ is $\theta$. The speed of light in medium $A$ is $v$. The speed of light in medium $B$ is:

Medium

View Solution

$A$ beam of light consisting of red,green and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the above red,green and blue wavelengths are $1.39, 1.44$ and $1.47$ respectively.
The prism will

MediumAIPMT 2015

View Solution

If $\mu_1$ and $\mu_2$ are the refractive indices of the materials of core and cladding of an optical fibre,then the loss of light due to its leakage can be minimised by having

Easy

View Solution

$A$ ray of light enters from a rarer to a denser medium. The angle of incidence is $i$. Then the reflected and refracted rays are mutually perpendicular to each other. The critical angle for the pair of media is

MediumKCET 2008

View Solution

Glass has a refractive index $\mu$ with respect to air,and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with an angle of incidence $\theta$,the corresponding angle of refraction is:

Medium

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

$A$ point source of light is kept below the surface of water $(n_{w} = 4/3)$ at a depth of $\sqrt{7} \ m$. The radius of the circular bright patch of light noticed on the surface of water is

Similar Questions

The critical angle of light going from medium $A$ to medium $B$ is $\theta$. The speed of light in medium $A$ is $v$. The speed of light in medium $B$ is:

$A$ beam of light consisting of red,green and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the above red,green and blue wavelengths are $1.39, 1.44$ and $1.47$ respectively.The prism will

If $\mu_1$ and $\mu_2$ are the refractive indices of the materials of core and cladding of an optical fibre,then the loss of light due to its leakage can be minimised by having

$A$ ray of light enters from a rarer to a denser medium. The angle of incidence is $i$. Then the reflected and refracted rays are mutually perpendicular to each other. The critical angle for the pair of media is

Glass has a refractive index $\mu$ with respect to air,and the critical angle for a ray of light going from glass to air is $\theta$. If a ray of light is incident from air on the glass with an angle of incidence $\theta$,the corresponding angle of refraction is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$A$ beam of light consisting of red,green and blue colours is incident on a right-angled prism. The refractive index of the material of the prism for the above red,green and blue wavelengths are $1.39, 1.44$ and $1.47$ respectively.
The prism will