The wavelength of light in two liquids x and y are 3500 overset texto mathop textA and 7000 overset texto mathop textA , then the critical angle of x relative to y will be

Question

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

Tardigrade Admin · Accepted Answer

λ x=3500 overset texto mathop textA , λ y=7000 overset texto mathop textA sin C=(μ 2/μ 1)=(λ x/λ y) =(3500/7000)=(1/2) . sin C= sin 30o ∴ C=30o

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

$60^{\circ}$

$45^{\circ}$

$30^{\circ}$

$15^{\circ}$

$λ_{x} = 3500 A o, λ_{y} = 7000 A o$ $sin C = \frac{μ _{2}}{μ _{1}} = \frac{λ _{x}}{λ _{y}}$ $= \frac{3500}{7000} = \frac{1}{2}$ . $sin C = sin 30^{o}$ $∴$ $C = 30^{o}$

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

60∘

45∘

30∘

15∘