When light is refracted into a medium,

Question

When light is refracted into a medium, (A) its wavelength and frequency both increase (B) its wavelength increases but frequency remains unchanged (C) its wavelength decreases but frequency remains unchanged (D) its wavelength and frequency both decrease

Tardigrade Admin · Accepted Answer

According to Snell's law ( sin i / sin r )=( v 1/ v 2)=(μ2/μ1) From fig. we see that r>i ⇒ v2>v1 from Snell's Law So v2=n λ2>v1=n λ1 ⇒ λ2>λ1 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/4ce3dee5f9ea5bc00097a1898bddd491-.png" /> (Frequency of wave does not change on refraction)

Q. When light is refracted into a medium,

its wavelength and frequency both increase

its wavelength increases but frequency remains unchanged

its wavelength decreases but frequency remains unchanged

its wavelength and frequency both decrease

According to Snell's law $\frac{s i n i}{s i n r} = \frac{v _{1}}{v _{2}} = \frac{μ _{2}}{μ _{1}}$
From fig. we see that
$r > i \Rightarrow v_{2} > v_{1}$
from Snell's Law
So $v_{2} = n λ_{2} > v_{1} = n λ_{1}$
$\Rightarrow λ_{2} > λ_{1}$

(Frequency of wave does not change on refraction)

Q. When light is refracted into a medium,

its wavelength and frequency both increase

its wavelength increases but frequency remains unchanged

its wavelength decreases but frequency remains unchanged

its wavelength and frequency both decrease

According to Snell's law sinrsini​=v2​v1​​=μ1​μ2​​ From fig. we see that r>i⇒v2​>v1​ from Snell's Law So v2​=nλ2​>v1​=nλ1​ ⇒λ2​>λ1​ (Frequency of wave does not change on refraction)

According to Snell's law $\frac{s i n i}{s i n r} = \frac{v _{1}}{v _{2}} = \frac{μ _{2}}{μ _{1}}$
From fig. we see that
$r > i \Rightarrow v_{2} > v_{1}$
from Snell's Law
So $v_{2} = n λ_{2} > v_{1} = n λ_{1}$
$\Rightarrow λ_{2} > λ_{1}$

(Frequency of wave does not change on refraction)