Home
Class 12
PHYSICS
A prism of crown glass having angle of r...

A prism of crown glass having angle of refractive as `3^(@)` and refractive index = 1.51 is combined with one flint glass prism of refractive index = 1.65 to produce dispersion without deviation. Find the angle of flint glass and net dispersion.
Given,
`mu_(v) = 1.523, mu_(R) = 1.513` (for crown glass)
`mu'_(v) = 1.665, mu'_(R) = 1.645` (for flint glass)

Text Solution

Verified by Experts

Let A' be the angle of flint glass prism. Here, `A = 3^(@)` and `mu = 1.51` for crown glass prism
`delta = (mu - 1) A = (1.51 - 1) 3 = 1.53^(@)`
Deviation produced by flint glass prism
`delta = (mu' - 1) A' = (1.65 - 1) A' = 0.65 A'`
For no deviation `delta' = delta`
or 0.65 A' = 1.53
`A' = (1.53)/(0.65) = 2.35^(@)`
Net dispersion is given by
`(mu_(v) - mu_(R))A - (mu'_(v) - mu'_(R))A'`
`= (1.523 - 1.513) 3- (1.665 - 1.645) 2.35`
`= 0.03 - 0.047`
`= -0.017^(@)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A prism of crown glass with refracting angle of 5^(@) and mean refractive index = 1.151 is combined with a flint glass prism of refractive index = 1.65 to produce deviation. Find the angle of fliint glass.

A thin glass prism of angle 6^(@) of refractive index 1.5 is combined with another glass prism of refractive index 1.6 to produce dispersion without deviation. What is the angle of the second prism ?

A thin prism of angle 6^(@) made up of glass of refractive index 1.5 is combined with anorher prism made up of glass of refractive index 1.75 to produce dispersion without deviation. The angle of second prism is

A thin prism P_(1) with angle 4degree and made from glass of refractive index 1.54 is combined with another thin prism P_(2) made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism P_(2) is

A thin prism of angle 15^@ made of glass of refractive index mu_1=1.5 is combined with another prism of glass of refractive index mu_2=1.75 . The combination of the prisms produces dispersion without deviation. The angle of the second prism should be

A thin prism of angle 15^(@) made of glass of refractive index mu_(1)=1.5 is combined with another prism of glass of refractive index mu_(2)=1.75 . The combination of the prism produces dispersion without deviation. The angle of the second prism should be

The angle of a crown glass prism of refractive index 1.52 is 6^(@) . What should be the angle of a flint glass prism of refractive index 1.65 , so that the two prisms produce a direct vision prism ?

A thin prism having refracting angle 10^(@) is made of glass of refracting index 1.42 . This prism is combined with another thin prism of glass of refractive index 1.7 . This combination produces dispersion without deviation. The refracting angle of second prism should be :

A crown glass prism of refracting angle 6^@ is to be used for deviation without dispersion with a flint glass of angle of prism alpha . Given : for crown glass mu_r=1.513 and mu_v = 1.523, for flint glass mu_r=1.645 and mu_v=1.665 . Find alpha