हिंदी

Two Monochromatic Rays of Light Are Incident Normally on the Face AB of an Isosceles Right-angled Prism ABC. the Refractive Indices of the Glass Prism for the Two Rays '1' and '2' Are Respectively 1.38 and 1.52. Trace the Path of These Rays After Entering Through the Prism. - Physics

Advertisements
Advertisements

प्रश्न

Two monochromatic rays of light are incident normally on the face AB of an isosceles right-angled prism ABC. The refractive indices of the glass prism for the two rays '1' and '2' are respectively 1.38 and 1.52. Trace the path of these rays after entering through the prism.

Advertisements

उत्तर

Critical angle of ray 1 is given by:

`sin(c_1)=1/mu_1=1/1.38`

`=>c_1=sin^(-1)(1/1.38)=46.44^@`

Similarly, critical angle of ray 2:

`sin(c_2)=1/mu_2=1/1.52`

`=>c_2=sin^(-1)(1/1.52)=41.14^@`

Both the rays will fall on the side AC with angle of incidence (i) equal to 45°. Critical angle for ray 1 is greater than that of i. Hence, it will emerge out from the prism as shown in the figure. Critical angle of ray 2 is less than that of i. Hence, it will get internally reflected as shown in the figure.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2013-2014 (March) All India Set 3

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Plot a graph to show the variation of the angle of deviation as a function of the angle of incidence for light passing through a prism. Derive an expression for the refractive index of the prism in terms of angle of minimum deviation and angle of the prism.


A ray of light passes through an equilateral glass prism such that the angle of incidence is equal to the angle of emergence and each of these angles is equal to 3/4 of angle of prism. Find the angle of deviation.


Draw the ray diagram showing refraction of light through a glass prism and hence obtain the relation between the refractive index μ of the prism, angle of prism and angle of minimum deviation.


The equation \[\omega = \frac{\mu_u - \mu_r}{\mu - 1}\] was derived for a prism having small refracting angle. Is it also valid for a prism of large refracting angle? Is it also valid for a glass slab or a glass sphere?


A prism can produce a minimum deviation δ in a light beam. If three such prisms are combined, the minimum deviation that can be produced in this beam is _______________.


Two prisms of identical geometrical shape are combined with their refracting angles oppositely directed. The materials of the prisms have refractive indices 1.52 and 1.62 for violet light. A violet ray is deviated by 1.0° when passes symmetrically through this combination. What is the angle of the prisms?


A thin prism of angle 6.0°, ω = 0.07 and μy = 1.50 is combined with another thin prism having ω = 0.08 and μy = 1.60. The combination produces no deviation in the mean ray. (a) Find the angle of the second prism. (b) Find the net angular dispersion produced by the combination when a beam of white light passes through it. (c) If the prisms are similarly directed, what will be the deviation in the mean ray? (d) Find the angular dispersion in the situation described in (c).


An equilateral glass prism has a refractive index 1.6 in the air. Calculate the angle of minimum deviation of the prism, when kept in a medium of refractive index `4sqrt(2)"/"5.`


When a ray of white light is incident obliquely on the first surface of a prism, then ______.


What is meant by a thin prism?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×