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Calculate angle of dispersion between re...

Calculate angle of dispersion between red and violet colours produced by a flint glass prism of refracting angle `60^@. mu_v = 1.663 and mu_r = 1.622`.

Text Solution

Verified by Experts

The correct Answer is:
`4^(@)6'`

Here, `A = 60^(@)`. Therefore, we cannot use the formula : `delta_(v) - delta_(r ) = (mu_(v) - mu_(r ))A`
Here, we find `delta_(v)` from `mu_(v) = (sin (A + delta_(v))//2)/(sin A//2)`
Also, find `delta_(r )`, from `mu_(r ) = (sin (A + delta_(r ))//2)/(sin A//2)`
Then, calculate, `(delta_(v) - delta_( r)) = 4^(@)6'`
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What is the angle of dispersion between red and violet colours produced by a flint glass prism of refracting angle 60^(@) ? Refractive indices of the given prism for red and violet colours are 1.622 and 1.663, respectively.

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Calculate the dispersion and deviation ( mean) produced by a flint glass prism placed in the position of minimum deviation with respect to the mean colour. The angle of prism is 60^(@) . Also calculate the dispersive power of the prism. Index of refraction of flint glass for blue light=0.667 and that for the red light =1.643.

Calculate the dispersive power for crown and flint glass prisms from the following data : For crown glass, m_b = 1.522 , m_r = 1.514 . For flint glass, mu'_b = 1.662 , mu'_r = 1.644 .

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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

The dispersive powers of flint glass and crown glass are 0.053 and 0.034 respectively and their mean refractive indices are 1.68 and 1.53 for white light .Calculate the angle of the flint glass prism required to form an achromatic combination with a crown glass prism of refracting anlge 4^@ .

The dispersion produced by an equilateral prism of flint- glass is 2.16^(@) and that produced by an equilateral prism of crown glass is 1.08^(@) . What should be the angle of a crown glass , which will produce an achromatic combination with a flint-glass prism of refracting angle 30^(@) ?

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