A parallel beam of white light falls from air on a thin film whose refractive index is `sqrt ( 3)` . The medium on both sides of the film is air. The angle of incdidence is `60^(@)`. Find the minimum film thickness if reflected light is most intense for `lambda" = 600 nm"`.
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A parallel beam of light of wavelenght `560 nm` falls on a film of oil (refractive index `=1.4`). What should be the minimum thickness of the film so
Correct Answer - `100 mm`
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`int_(-1)^(1/2)(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))i se q u a lto` `(sqrt(e))/2(sqrt(3)+1)` (b) `(sqrt(3e))/2` `sqrt(3e)` (d) `sqrt(e/3)`
Correct Answer - C `int_(-1)^(1//2)(e^(x)(2-x^(2))dx)/((1-x)sqrt(1-x^(2)))=int_(-1)^(1//2)(e^(x)(1-x^(2)+1))/((1-x)sqrt(1-x^(2)))` `=int_(-1)^(1//2) e^(x)[(sqrt(1+x))/(1-x)+1/((1-x)sqrt(1-x^(2)))]dx` `=e^(x)sqrt(1+x)/(1-x)|_(-1)^(1//2)=sqrt(3e)`
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If ` A(3/sqrt(2), sqrt(2))`, `B(-3/sqrt(2), sqrt(2)), C(-3/sqrt(2), -sqrt(2))` and `D(3 cos theta , 2 sin theta)` are four points . If the area of the
Area of qudrilateral AbCD is maximum when area of ACD is maximum. Area of triangle ACD. `Delta_1=(1)/(2)||{:(3/sqrt2,,sqrt2,,),(3/sqrt2,,-sqrt2,,),(3sintheta,,2costheta,,),(3/sqrt2,,sqrt2,,):}||` `=|-3sqrt(2)costheta+3sqrt(2)sintheta|` `therefore Delta_1("max")=6`, when`theta=(7pi)/(4)` (as `theta epsilon(3pi//2,2pi`)) Maximum area is 12 sq.units (as...
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A thin film having refractive index` mu" = 1.5"` has air on both sides. It is illuminated by white light falling normally on it. Analysis of the refle
Correct Answer - (a)900 nm (b)415nm ,491nm,600nm,771nm
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An equilateral prism is made of glass whose refractive index for red and violet light is 1.510 and 1.550 respectively. White light is incident at an a
Correct Answer - `5^(@)`
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White light is incident normally on a plane parallel thin film of µ=1.5. Find the minimum thickness of the film for which light of `lamda`=4000 Å is a
Correct Answer - `1.33xx10^(-7)`m
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A soap film of refractive index 4/3 and thickness `1.5xx10^(-4)`cm is illuminated by white light incident at angle `45^(@)`. The reflected light is ex
Correct Answer - n=7
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A beam of light travelling in water falls on a glass plate immersed in water. When the incident angle is `51^(@)`, the reflected beam of light is foun
Correct Answer - 1.647
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If `sqrt(2)=1.414, sqrt(3)=1.732` and `sqrt(5)=2.236`, find the values of the following. (i) `sqrt(98)` (ii) `sqrt(300)` (iii) `sqrt(128)+sqrt(48)` (i
Correct Answer - (i) 9.898 (ii) 17.32 (iii) 18.24 (iv) 6.928
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(i) `(a^(p+q))^(p-q) (a^(q+r))^(q-r)(a^(r+p))^(r-p)` (ii) `[(a/b)^(sqrt(p)+sqrt(q))]^(sqrt(p)-sqrt(q))[(a/b)^(sqrt(q)+sqrt(r))]^(sqrt(q)-sqrt(r))` `[(
Correct Answer - (i) 1 (ii) 1
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