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 face. The light ray is reflected twice on the same sized faces and emerges through the base of the prism perpendicularly. Find the minimum value of refractive index of the material of the prism.
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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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There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 3. Die B has o
Correct Answer - C x can be 2, 3, 4, 5, 6. The number of ways in which sum of 2, 3, 4, 5, 6 can occur is given by the...
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There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 1, two faces m
Correct Answer - C The number of ways in which different sums can occurs is (3 + 2 + 1)(1 + 2 + 3) = 36. The probability of 4 is...
2 Answers 1 views
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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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 inte
Correct Answer - `cot A lt (sqrt(3)-1)` where A is angle of the prism.
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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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A ray of light incident at `49^(@)` on the face of an equilaternal prism passes symmetrically. Calculate the refractive index of the material of the p
Correct Answer - 1.5094
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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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