The wavelength of light in two liquids x and y are 3500 mathringA and 7000 mathringA , then the critical angle of x relative toy will be

Question

The wavelength of light in two liquids x and y are 3500 mathringA and 7000 mathringA , then the critical angle of x relative toy will be (A)  60°  (B)  45°  (C)  30°  (D)  15°

Tardigrade Admin · Accepted Answer

λx=3500 mathringA , λy=7000 mathringA sin C =(μ2/μ1)=(λx/λy)=(3500/7000) =(1/2) sin C = sin 30° ∴ C=30°

Q. The wavelength of light in two liquids $x$ and $y$ are $3500 \overset{˚}{A}$ and $7000 \overset{˚}{A}$ , then the critical angle of $x$ relative toy will be

$6 0^{\circ}$

$4 5^{\circ}$

$3 0^{\circ}$

$1 5^{\circ}$

$λ_{x} = 3500 \overset{˚}{A}, λ_{y} = 7000 \overset{˚}{A} sin C$
$= \frac{μ _{2}}{μ _{1}} = \frac{λ _{x}}{λ _{y}} = \frac{3500}{7000}$
$= \frac{1}{2} sin C$
$= sin 3 0^{\circ}$
$∴ C = 3 0^{\circ}$

Q. The wavelength of light in two liquids x and y are 3500A˚ and 7000A˚ , then the critical angle of x relative toy will be

60∘

45∘

30∘

15∘