Question

The wavelength of light in a medium A is 600 nm. The wave enters medium

B of refractive index 1.5

Steps to find the wavelength of light in medium B are given below. Choose

an option which has the correct sequence of steps, to find the wavelength.

() = 1.5 × 600 () =

600

1.5

() = 400

() = 900 () 1.5 =



600



1. (i) then (iii)

2. (ii) then (iii)

3. (i) then (iv)

4. (ii), (i) then (iv)

5. (v) then (iv)​

Answer 1

Answer:

(2) then (3) this is a exact answer of this question

Answer 2

Hence the correct option is 2, the wavelength of light in the medium is 400 nm.

Given,

the wavelength of light λ = 600 nm

refractive index of medium = 1.5

To Find,

the wavelength of light in medium B

Solution,

first, find the frequency = c/λ

where c is the speed of light and lambda is wavelength = 5×10¹⁴

now speed of light in medium =  speed of light / refractive index

= 2×10⁸

the wavelength of light in the medium

= speed of light in medium / frequency

=2×10⁸/5×10¹⁴

= 4×10⁻⁷ = 400nm

Hence the correct option is 2, the wavelength of light in a medium is 400nm

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