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

Question

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

Tardigrade Admin · Accepted Answer

sin θ c =(1/ R μ D ) ; [∵ μ propto (1/λ)] sin θ C =(λ D /λ R )=(3500/7000) mathringA ; sin θ C =(1/2) ; θ C =30°

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

$6 0^{\circ}$

$4 5^{\circ}$

$3 0^{\circ}$

$1 5^{\circ}$

$sin θ_{c} = \frac{1}{R μ _{D}}; [∵ μ \propto \frac{1}{λ}]$
$sin θ_{C} = \frac{λ _{D}}{λ _{R}} = \frac{3500}{7000} \overset{˚}{A}$
$; sin θ_{C} = \frac{1}{2}; θ_{C} = 3 0^{\circ}$

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

60∘

45∘

30∘

15∘