A ray of light is incident upon one face of a prism in a direction perpendicular to the other refracting face. The critical angle for glass – air interface is `30°`. Find the angle of the prism (assuming it to be less than `90°`) if the ray fails to emerge from the other face.
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In an isosceles prism of prism angle `45^(@)`, it is found that when the angle of incidence is same as the prism angle, the emergent ray grazes the em
Correct Answer - D `i=(pi)/(2),e=(pi)/(4),A=(pi)/(4)` `(sini)/(sin r_(1))=(sine)/(sinr_(2))=mu` `rArr sinr_(1)=(1)/(mu) and sinr_(2)=(1)/(sqrt2mu)` Since `r_(1)+r_(2)=A=(pi)/(4) rArr r_(1)=(pi)/(4)-r_(2)` `rArr sinr_(1) =(1)/(sqrt2)cosr_(2)- (1)/(sqrt2)sinr_(2)` `=sqrt2 sinr_(1)+sinr_(2)=cosr_(2)` `=(sqrt2)/(mu)+(1)/(sqrt2mu)=sqrt(1-(1)/(2mu^(2)))= (1)/(mu^(2))(2+(1)/(2)+2)=1-(1)/(2mu^(2))` `= (1)/(mu^(2))((9)/(2)+(1)/(2))=1` `mu^(2)=5rArr mu=sqrt5 `.
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An isosceles glass prism has one of its faces silvered. A light ray is incident normally on the other face which is identical in size to the silvered
Correct Answer - `mu gt (1)/(sin 72^(@))`
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A parallel beam of light falls normally on the first face of a prism of small refracting angle. At the second refracting face it is partly reflected a
Correct Answer - `mu = 2, A = 1^(@)`
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The critical angle for a certain wavelength of light is glass is `40^(@)`. Calculate the polarising angle and the angle of refraction in glass corresp
Correct Answer - `57.3^(@),32.7^(@)`
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A crown glass prism of refracting angle `8^(@)` is combined with a flint glass prism to obtain deviation without dispersion. If the refractive indicat
Correct Answer - `1.53^(@)`
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Light passes symmetrically through a `60^(@)` prism of refractive index 1.54. After emergence out from the prism the light ray is incident on a plane
Correct Answer - `0^(@)`
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The refracting angle of a glass prism is `60^(@)`. The value of minium deviation for light passing through the prism is `40^(@)`. Calculate the value
Correct Answer - 1.532
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A ray incident normally on one face of a right-angled isosceles glass prism in air is deviated through `90^(@)`. What can you say about the refractive
Correct Answer - `mu gt sqrt(2)`
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A ray of light is incident on the glass prism at an angle of `40^(@)`. Find the angle of emergence, if the angle of prism is `60^(@)` and refractive i
Correct Answer - `58.5^(@)`
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A thin glass prism placed in air produces minimum deviation of `4^(@)` in a light ray. If the prism is immersed in water, what will be the minimum dev
Correct Answer - `1^(@)`
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