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