Young double-slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are β G, β R and β B respectively, then

Question

Young double-slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are β G, β R and β B respectively, then (A) β G>β B>β R (B) β B>β G>β R (C) β R>β B>β G (D) β R>β G>β B

Tardigrade Admin · Accepted Answer

Since, we know, fringe width, β =(λ D/d) Therefore, β propto λ Where, λ = wavelength of light, D= distance between screen and slits and d= distance between slits. We know, λ R>λ G>λ B Thus, β R>β G>β B

Q. Young double-slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are $β_{G}, β_{R}$ and $β_{B}$ respectively, then

$β_{G} > β_{B} > β_{R}$

$β_{B} > β_{G} > β_{R}$

$β_{R} > β_{B} > β_{G}$

$β_{R} > β_{G} > β_{B}$

Since, we know, fringe width,
$β = \frac{λ D}{d}$
Therefore, $β \propto λ$
Where, $λ =$ wavelength of light,
$D =$ distance between screen and slits
and $d =$ distance between slits.
We know, $λ_{R} > λ_{G} > λ_{B}$
Thus, $β_{R} > β_{G} > β_{B}$

Q. Young double-slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are βG​,βR​ and βB​ respectively, then

βG​>βB​>βR​

βB​>βG​>βR​

βR​>βB​>βG​

βR​>βG​>βB​