If frequency of light is 5 × 1016 Hz and speed of light in air is 3 × 108 m / s. Then find ratio of wavelength of light in medium of refractive index of 2 to wavelength of light in air.

Question

If frequency of light is 5 × 1016 Hz and speed of light in air is 3 × 108 m / s. Then find ratio of wavelength of light in medium of refractive index of 2 to wavelength of light in air. (A) (1/2) (B) 3 (C) (3/2) (D) 2

Tardigrade Admin · Accepted Answer

If a light travels from medium (1) to medium (2), then, 1 μ2=(μ2/μ1)=(λ1/λ2)=(v1/v2) Here, μ2=2, μ1=1 So, λ2 / λ1=1/2

Q. If frequency of light is $5 \times 1 0^{16} Hz$ and speed of light in air is $3 \times 1 0^{8} m / s$ . Then find ratio of wavelength of light in medium of refractive index of $2$ to wavelength of light in air.

$\frac{1}{2}$

3

$\frac{3}{2}$

2

If a light travels from medium (1) to medium
(2), then, $1 μ_{2} = \frac{μ _{2}}{μ _{1}} = \frac{λ _{1}}{λ _{2}} = \frac{v _{1}}{v _{2}}$
Here, $μ_{2} = 2, μ_{1} = 1$
So, $λ_{2} / λ_{1} = 1/2$

Q. If frequency of light is 5×1016Hz and speed of light in air is 3×108m/s. Then find ratio of wavelength of light in medium of refractive index of 2 to wavelength of light in air.

21​

3

23​

2

If a light travels from medium (1) to medium (2), then, 1μ2​=μ1​μ2​​=λ2​λ1​​=v2​v1​​ Here, μ2​=2,μ1​=1 So, λ2​/λ1​=1/2

Q. If frequency of light is $5 \times 1 0^{16} Hz$ and speed of light in air is $3 \times 1 0^{8} m / s$ . Then find ratio of wavelength of light in medium of refractive index of $2$ to wavelength of light in air.

$\frac{1}{2}$

$\frac{3}{2}$

If a light travels from medium (1) to medium
(2), then, $1 μ_{2} = \frac{μ _{2}}{μ _{1}} = \frac{λ _{1}}{λ _{2}} = \frac{v _{1}}{v _{2}}$
Here, $μ_{2} = 2, μ_{1} = 1$
So, $λ_{2} / λ_{1} = 1/2$