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The Equation ω = μ U − μ R μ − 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? - Physics

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प्रश्न

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?

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उत्तर

Dispersive power depends on angular deviation, and angular deviation is valid only for a small refracting angle and a small angle of incidence. Therefore, dispersive power is not valid for a prism of large refracting angle. It is also not valid for a glass slab or a glass sphere, as it has a large refracting angle.

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पाठ 20: Dispersion and Spectra - Short Answers [पृष्ठ ४४१]

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एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
पाठ 20 Dispersion and Spectra
Short Answers | Q 1 | पृष्ठ ४४१

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


Draw the ray diagram showing refraction of light through a glass prism and hence obtain the relation between the refractive index μ of the prism, angle of prism and angle of minimum deviation.


Describe an activity to show that the colours of white light splitted by a glass prism can be recombined to get white light by another identical glass prism. Also, draw a ray diagram to show the recombination of the spectrum of white light.


Figure shows a ray of light passing through a prism. If the refracted ray QR is parallel to the base BC, show that (i) r1 = r2 = A/2 and (ii) angle of minimum deviation, Dm = 2i − A.


 Out of blue and red light which is deviated more by a prism? Give reason.


Can the dispersive power \[\omega = \frac{\mu_u - \mu_r}{\mu - 1}\] be negative? What is the sign of ω if a hollow prism is immersed into water?


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


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 deviation produced for violet, yellow and red lights for crown glass are 3.75°, 3.25° and 2.86° respectively. Calculate the dispersive power of the crown glass.


In a regular prism, what is the relation between angle of incidence and angle of emergence when it is in the minimum deviation position?


 A narrow beam of monochromatic light, PQ, is incident normally on one face of an equiangular glass prism of refractive index 1.45. When the prism is immersed in a certain liquid, the ray makes a grazing emergence along the other face (See figure). Find the refractive index of this liquid. 


 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?


Prove that in case of a prism, i + e = A + δ, where the symbols have their usual meanings.


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