Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
The refractive indices for red and yellow lights are μr = 1.61 and μy = 1.65, respectively.
Dispersive power, ω = 0.07
Angle of minimum deviation, δy = 4°
Now, using the relation \[\omega = \frac{\mu_v - \mu_r}{\mu_y - 1},\] we get
\[ \Rightarrow 0 . 07 = \frac{1 . 65 - 1 . 61}{\mu_y - 1}\]
\[\Rightarrow \mu_y - 1 = \frac{0 . 04}{0 . 07} = \frac{4}{7}\]
Let the angle of the prism be A.
Angle of minimum deviation, δ = (μ − 1)A
\[\Rightarrow A = \frac{\delta_y}{\mu_y - 1} = \frac{4}{\left( \frac{4}{7} \right)} = 7^\circ\]
Thus, the angle of the prism is 7°.
APPEARS IN
संबंधित प्रश्न
Two monochromatic rays of light are incident normally on the face AB of an isosceles right-angled prism ABC. The refractive indices of the glass prism for the two rays '1' and '2' are respectively 1.38 and 1.52. Trace the path of these rays after entering through the prism.
What is a dispersion of light
For any prism, prove that :
'n' or `mu = sin((A + delta_m)/2)/sin(A/2)`
where the terms have their usual meaning
Out of blue and red light which is deviated more by a prism? Give reason.
Give the formula that can be used to determine refractive index of materials of a prism in minimum deviation condition ?
The equation \[\omega = \frac{\mu_u - \mu_r}{\mu - 1}\] was derived for a prism having small refracting angle. Is it also valid for a prism of large refracting angle? Is it also valid for a glass slab or a glass sphere?
If three identical prisms are combined, is it possible to pass a beam that emerges undeviated? Undispersed?
If a glass prism is dipped in water, its dispersive power ___________ .
By properly combining two prisms made of different materials, it is possible to
(a) have dispersion without average deviation
(b) have deviation without dispersion
(c) have both dispersion and average deviation
(d) have neither dispersion nor average deviation
Two prisms of identical geometrical shape are combined with their refracting angles oppositely directed. The materials of the prisms have refractive indices 1.52 and 1.62 for violet light. A violet ray is deviated by 1.0° when passes symmetrically through this combination. What is the angle of the prisms?
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.
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.
In a regular prism, what is the relation between angle of incidence and angle of emergence when it is in the minimum deviation position?
What is meant by the dispersive power of transparent material?
How does the angle of minimum deviation of a glass prism vary if the incident violet light is replaced by red light?
Define angular dispersion.
For any prism, obtain a relation between the angle of the prism (A), the angle of minimum deviation (δm) and the refractive index of its material (μ or n).
What is meant by a thin prism?
