Home
Class 12
PHYSICS
(a) Plot a graph for angle of deviation ...

(a) Plot a graph for angle of deviation as a function of angle of incidence for a triangular prism.
(b) Derive the relation for the refractive index of the prism in terms of the angle of minimum deviation and angle of prism.

Text Solution

Verified by Experts

(a)
(b) A Ray PQ is incident on the face AB of prism at an angle I and refrected along QR at angle r. The angle between the emergent ray RS and incident Ray PQ is called angle of deviation.
`angleA+angleQNR=180^(@)" ....(1)"`
`-r+r'=angleQNR=180^(@)" ....(2)"`
from equation (1) and (2)
`A=r+r'" ....(3)"`
`delta=angleMQR+angleMRQ" (exterior angle)"`
`delta=(i+r)+(i'-r')`
`delta=(i+i')-(r+r')" ....(4)"`
In the minimum deviation position (when `delta=delta_(m)`)
`i=i'," "r=r'" "....(5)"`
`"from (3) and (5) "r=A//2" ....(6)"`
`"from (4) and (5)" i=(A+delta_(m))/(2)" ....(7)"`
`mu=(sin i)/(sin r)" (according to Snell's law)"`
Substituting the value of i and r from equation (6) and (7)
`mu=(sin i)/(sin r)=(sin""(A+(delta_(m))/(2)))/(sin""(A)/(2))`
Promotional Banner

Topper's Solved these Questions

  • XII BOARDS

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION - D|3 Videos

  • XII BOARDS

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION - E|5 Videos

  • XII BOARDS

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise [SET -III, OUTSIDE DELHI]|3 Videos

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

(i) Plot a graph to show variation of the angle of deviation as function of angle of incidence for light passing through a prism. Derive an expression for refractive index of the prism in terms of angle of minimum deviation and angles of prism. (ii) What is dispersion of light ? Why is its cause ? (iii) A ray of light incident normally on one face of a right isosceles prism is totally reflected as shown in fig . what must be the minimum value of refractive index of glass ? Give relevant calculations

The refractive index of the material of prism sqrt3, then the angle of minimum deviation of prism is

The graph between angle of deviation (delta) and angle of incidence (i) for a triangular prism is represented by

For refraction through a small angled prism, the angle of minimum deviation

The refracting angle of a prism is A, and refractive index of the material of the prism is cot (A/2) . The angle of minimum deviation is

The refracting angle of a prism is A and refractive index of the material of prism is cot(A//2) . The angle of minimum deviation will be

The refracting angle of a prism is A and refractive index of the material of prism is cot(A//2) . The angle of minimum deviation will be

The refracting angle of a prism is A and refractive index of the material of prism is cot(A//2) . The angle of minimum deviation will be

The refracting angle of a prism is A and refractive index of the material of prism is cot(A//2) . The angle of minimum deviation will be

The correct relation between the refractive index ( mu ) of the material of prism (A) and angle of minimum deviation ( delta ) is