हिंदी

Answer the Following Question. Under What Conditions is the Phenomenon of Total Internal Reflection of Light Observed? Obtain the Relation Between the Critical Angle of Incidence.

Advertisements
Advertisements

प्रश्न

Answer the following question.
Under what conditions is the phenomenon of total internal reflection of light observed? Obtain the relation between the critical angle of incidence and the refractive index of the medium.

संक्षेप में उत्तर
Advertisements

उत्तर

Total Internal Reflection: 


Total internal reflection is the phenomenon of reflection of light into a denser medium from an interface of the denser medium and the rarer medium. Two essential conditions for total internal reflection: Incident ray should travel in the denser medium and refracted ray should travel in the rarer medium.  
The angle of incidence (i) should be greater than the critical angle for the pair of media in contact.  
The relation between refractive index and critical angle (C): 
When i = C and r = 90°
Apply Snell's law

`mu_b sinC = mu_a sin90^circ = mu_a xx 1`

`mu_b/mu_a = 1/sin C`

`""^amu_b = 1/sin C`.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2018-2019 (March) 55/1/3

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

A 4.5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm. Give the location of the image and the magnification. Describe what happens as the needle is moved farther from the mirror.


In motor vehicles, a convex mirror is attached near the driver's seat to give him the view of the traffic behind. What is the special function of this convex mirror which a plane mirror can not do?


Can mirrors give rise to chromatic aberration?


Following figure  shows three transparent media of refractive indices \[\mu_1 ,    \mu_2   \text{ and }  \mu_3\].  A point object O is placed in the medium \[\mu_2\].  If the entire medium on the right of the spherical surface has refractive index  \[\mu_3\], the image forms at O". In the situation shown,


A narrow pencil of parallel light is incident normally on a solid transparent sphere of radius r. What should be the refractive index is the pencil is to be focussed (a) at the surface of the sphere, (b) at the centre of the sphere.


Answer the following question.
Three lenses of focal length +10 cm, —10 cm and +30 cm are arranged coaxially as in the figure given below. Find the position of the final image formed by the combination. 


A parallel beam of light ray parallel to the x-axis is incident on a parabolic reflecting surface x = 2by2 as shown in the figure. After reflecting it passes through focal point F. What is the focal length of the reflecting surface?


A car is moving with at a constant speed of 60 km h–1 on a straight road. Looking at the rear view mirror, the driver finds that the car following him is at a distance of 100 m and is approaching with a speed of 5 km h–1. In order to keep track of the car in the rear, the driver begins to glance alternatively at the rear and side mirror of his car after every 2 s till the other car overtakes. If the two cars were maintaining their speeds, which of the following statement (s) is/are correct?


(i) Consider a thin lens placed between a source (S) and an observer (O) (Figure). Let the thickness of the lens vary as `w(b) = w_0 - b^2/α`, where b is the verticle distance from the pole. `w_0` is a constant. Using Fermat’s principle i.e. the time of transit for a ray between the source and observer is an extremum, find the condition that all paraxial rays starting from the source will converge at a point O on the axis. Find the focal length.

(ii) A gravitational lens may be assumed to have a varying width of the form

`w(b) = k_1ln(k_2/b) b_("min") < b < b_("max")`

= `k_1ln (K_2/b_("min")) b < b_("min")`

Show that an observer will see an image of a point object as a ring about the center of the lens with an angular radius

`β = sqrt((n - 1)k_1 u/v)/(u + v)`


A spherical mirror is obtained as shown in the figure from a hollow glass sphere. if an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not to scale)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×