# Chapter 22 Dispersion¶

## Example 22.1 Page no 686¶

In [2]:
#Given
A=60                               #Degree
i=49

#Calculation
import math
r=A/2.0
u=math.sin(i*3.14/180.0)/math.sin(r*3.14/180.0)

#Result
print "Refractive index is",round(u,2)

Refractive index is 1.51


## Example 22.2 Page no 686¶

In [13]:
#Given
u=1.5
A=60                              #Degree

#Calculation
import math
a1=A/2.0
a=u*math.sin(a1*3.14/180.0)
a2=math.asin(a)*180/3.14
X=(a2*2)-A
i=(A+X)/2.0

#Result
print"Angle of deviation is", round(X,1),"degree"
print"Angle of incidence is",round(i,1),"degree"

Angle of deviation is 37.2 degree
Angle of incidence is 48.6 degree


## Example 22.3 Page no 686¶

In [20]:
#Given
A=60                        #Degree
ug=1.53
uw=1.33

#Calculation
import math
ug1=ug/uw
a2=A/2.0
a1=ug1*math.sin(a2*3.14/180.0)
a2=math.asin(a1)*180/3.14
d=(a2*2)-A

#Result
print"Angle of minimum deviation is", round(d,1),"Degree"

Angle of minimum deviation is 10.2 Degree


## Example 22.4 Page no 686¶

In [29]:
#Given
ug=1.6
uw=1.33
i=40                                #Degree
A=60

#Calculation
ug1=ug/uw
r1=math.asin(math.sin(i*3.14/180.0)/ug1)*180/3.14
r2=A-r1
e=math.asin(ug1*math.sin(r2*3.14/180.0))*180/3.14
d=i+e-A

#Result
print"Angle of deviation is", round(d,0),"Degree"

Angle of deviation is 14.0 Degree


## Example 22.5 Page no 686¶

In [32]:
#Given
A=60                    #degree
ur=1.622
uv=1.663

#Calculation
a=A*(uv-ur)

#Result
print"Angle of dispersion between red and violet color is",a,"degree"

Angle of dispersion between red and violet color is 2.46 degree


## Example 22.6 Page no 686¶

In [35]:
#Given
A=60                              #Degree
ab=53
ar=51
a=52.0

#Calculation
w=(ab-ar)/a

#Result
print"Dispersive power is",round(w,4)

Dispersive power is 0.0385


## Example 22.7 Page no 686¶

In [43]:
#Given
ub=1.522
ur=1.514
ub1=1.662
ur1=1.644

#Calculation
u=(ub+ur)/2.0
w=(ub-ur)/(u-1)
u1=(ub1+ur1)/2.0
w1=(ub1-ur1)/(u1-1)

#Result
print"Dispersive power of crown glass is",round(w,4)
print"Dispersive power of flint galss is",round(w1,4)

Dispersive power of crown glass is 0.0154
Dispersive power of flint galss is 0.0276


## Example 22.8 Page no 687¶

In [46]:
#given
w=0.031
ur=1.645
ub=1.665

#Calculation
u=1+((ub-ur)/w)

#Result
print"Refractive index is",round(u,3)

Refractive index is 1.645


## Example 22.9 Page no 687¶

In [49]:
#Given
uv=1.523
ur=1.515
A=5                        #Degree
uv1=1.688
ur1=1.650

#Calculation
u=(uv+ur)/2.0
u1=(uv1+ur1)/2.0
A1=-(5*(u-1))/(u1-1)

#Result
print"Angle of flint glass prism is",round(A1,2),"Degree"

Angle of flint glass prism is -3.88 Degree


## Example 22.10 Page no 687¶

In [56]:
#Given
w=0.021
u=1.53
w1=0.045
u1=1.65
A1=4.2                    #degree

#Calculation
A=-w1*A1*(u1-1)/(w*(u-1))
d=-(A*(u-1)+A1*(u1-1))

#Result
print"Angle of prism is", d,"Degree"

Angle of prism is 3.12 Degree


## Example 22.11 Page no 687¶

In [59]:
#Given
A=40                     #degree
u=1.54

#Calculation
import math
i=math.asin(u*math.sin(A*3.14/180.0))*180/3.14

#Result
print"Angle of incidence is",round(i,2),"Degree"

Angle of incidence is 81.72 Degree


## Example 22.12 Page no 687¶

In [84]:
#Given
u=1.524
A=60                                   #degree
C=41                                   #degree

#calculation
import math
C1=1/u
A1=math.asin(C1)*180/3.14
r1=A-C
i=u*math.sin(r1*3.14/180.0)
A2=math.asin(i)*180/3.14

#Result
print"Angle of incidence is", round(A2,2),"Degree"

Angle of incidence is 29.75 Degree


## Example 22.13 Page no 688¶

In [98]:
#Given
u=0.015
w=0.03
u1=0.022
w1=0.05
a=2                          #degree

#Calculation
A=-u1/u
A1=a/(A/2.0+u1/w1)
a2=A*A1
print"Angle of 1st prism is", round(A1,2),"Degree"
print"Angle of 2nd prism is",a2,"Degree"

Angle of 1st prism is -6.82 Degree
Angle of 2nd prism is 10.0 Degree