Question

A light of wavelength 600 mm in air enters the glass of refractive index 4/3. Determine the speed, frequency and wavelength of light
ITS OF CLASS 10

Answer 1

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We can't see the light of wavelength 600 mm (milli meter)

It is actually 600 nm (nano meter)

I too came across this question when I was in 10th grade

We know that wavelength is 600 nm = 600 x 10⁻⁹ m

The refractive index is 4/3

c = λ × f

Here, c= speed of light

         λ= wavelength

         f=  frequency

=>   3 x 10⁸ = 600 x 10⁻⁹ x f

=> f=5 × 10¹⁴ Hz

refractive index n=  $\frac{V_v_a_c_c_u_m}{V_m_e_d_i_u_m}$

where Vvacuum = velocity of light in vacuum

and     Vmedium= velocity of light in medium

now,

4/3 = $\frac{3 x 10^8}{V_m_e_d_i_u_m}$ = Vmedium = $\frac{3x3x10^8}{4}$ = 2.25 x 10⁸ m/s