Advertisements
Advertisements
प्रश्न
A ray of light is incident on a prism whose refractive index is 1.52 at an angle of 40°. If the angle of emergence is 60°, calculate the angle of the prism.
Advertisements
उत्तर
Given :
`mu = 1.52` `i = 40^circ`
`e = 60^circ` A = ?
`mu = sin i/sin r`
`1.52 = sin 40^circ/sin r`
`therefore sin r = 0.6427/1.52`
`sin r = 0.4228`
`therefore r = sin^-1(0.4228)`
`r = 25.01^circ`
`1/mu = (sin r')/sin e ⇒ sin r' = sin e/mu`
⇒ `sin r' = sin 60^circ/1.52 = 0.866/1.52 = 0.57`
⇒ `r' = sin^-1(0.57) = 34.75^circ`
`therefore A = r + r' = 25.01^circ + 34.75^circ = 59.76^circ`
APPEARS IN
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.
What is a dispersion of light?
State any two difference between the primary rainbow and secondary rainbow
If a glass prism is dipped in water, its dispersive power ___________ .
A thin prism is made of a material having refractive indices 1.61 and 1.65 for red and violet light. The dispersive power of the material is 0.07. It is found that a beam of yellow light passing through the prism suffers a minimum deviation of 4.0° in favourable conditions. Calculate the angle of the prism.
The minimum deviations suffered by, yellow and violet beams passing through an equilateral transparent prism are 38.4°, 38.7° and 39.2° respectively. Calculate the dispersive power of the medium.
A thin prism of crown glass (μr = 1.515, μv = 1.525) and a thin prism of flint glass (μr = 1.612, μv = 1.632) are placed in contact with each other. Their refracting angles are 5.0° each and are similarly directed. Calculate the angular dispersion produced by the combination.
The refractive index of a material M1 changes by 0.014 and that of another material M2 changes by 0.024 as the colour of the light is changed from red to violet. Two thin prisms, one made of M1(A = 5.3°) and the other made of M2(A = 3.7°) are combined with their refracting angles oppositely directed. (a) Find the angular dispersion produced by the combination. (b) The prisms are now combined with their refracting angles similarly directed. Find the angular dispersion produced by the combination.
What is meant by the dispersive power of transparent material?
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.`
