Calculate the thickness of a quartz quarter- wave plate for sodium light `(lambda=5893Å)` given that the index of refraction of quartz for ordinary and extraordinary rays are 1.5442 and 1.5533 respectively.
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A soap flim of thickness `0.3 mu m` appears dark when seen by the refracted light of wavelength `580 nm`. What is the index of refraction of the soap
Correct Answer - 1.45 The path difference is `2mu t`. Now for destructive interface it can be `2mut=(lambda)/(2)` or `(3lambda)/(2)` or `(5lambda)/(2)` and so on……… `mu=(lambda)/(4 t),(3lambda)/(4 t),(5lambda)/(4 t)……..` `=(580xx10^(-9))/(4xx0.3xx10^(-6)) ,...
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If `[(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C`, where A, B and C are matrices then find matrices B a
We have `[(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C` Putting `lambda=0`, we get `C=[(1,-2),(1,1)]` Putting `lambda=1`, we get `A+B+C=[(0, -1),(3,0)]` ...(1) Putting `lambda=-1`, we get `A-B+C=[(4,-3),(-3,0)]` Subtracting (2) from (1), we get `2B[(0, -1),(3,0)]-[(4,-3),(-3,0)]=[(-4,2),(6,0)]` `:. B=[(-2,...
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Find all values of `lambda` for which the `(lambda-1)x+(3lambda+1)y+2lambdaz=0(lambda-1)x+(4lambda-2)y+(lambda+3)z=0 2x+(3lambda+1)y+3(lambda-1)z=0` p
Correct Answer - D `(d)` `|{:(lambda-1,3lamda+1,2lambda),(lambda-1,4lambda-2,lambda+3),(2,3lambda+1,3(lambda-1)):}|=0` `implieslambda=0` or `3` If `lambda=0`, the equations become `-x+y=0`, `-x-2y+3z=0` and `2x+y-3z=0`, `:. (x)/(6-3)=(y)/(6-3)=(z)/(-1+4)`
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Calculate the phase difference introduced by a calcite crystal plate of thickness 30 micron between ordinary and extraordinary light of wavelength 600
Correct Answer - `0.7pi `radians
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You have to design a half-wave plate of quartz crystal for light of wavelength 5800Å. Calculate the thickness of the plate rquired for the purpose if
Correct Answer - `3.2xx10^(-5)`m
2 Answers 1 views
A sheet of cellophane acts as a half-wave plate for light of wavelength 4000Å. If the index of refraction did not change with wavelength, how would th
Correct Answer - It will behaves as a quarter-wave plate
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Between the plates of a parallel-plate capacitor there is a metallic plate whose thickness takes up `eta = 0.60` of the capacitor gap. When that plate
Correct Answer - (a)`-0.15mJ` (b) `0.15mJ`
2 Answers 1 views
A quartz plate is a half wve plate for light whose wave length. Is `lambda`. Assuming that the variations is the indices of refraction with wavelength
Correct Answer - Plane will behave as a quarter wave plate for wavelength `lambda`
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Biprism fringes are produced with the help of sodium light `(lambda=5893Å)`. The angle of the biprism is 179.5^(@)` and tis refractive index 1.5. If t
Correct Answer - `[3.376 xx 10^(-4)m, 112mum]`
2 Answers 2 views
A spectroscopic instrument can resolve two nearly wavelength `lambda and lambda = Delta lambda if lambda//Delta lambda` is smaller than `8000` This is
Correct Answer - [38]
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