TS EAMCET 5-Aug-2021 Shift 2 Question Paper

Given,
ω1 and ω2 are fringe width of Young's double slit experiment.
∵‌‌ω=‌

λD

d

. . . (i)
where, λ is wavelength D is distance of screen from slits and d is separation between slits. since, ‌

n2

n1

=‌

v1

v2

=‌

λ1

λ2

where, n1,n2,λ1 and λ2 are refractive index of medium 1 and 2 and their wavelength. ∴‌‌‌

n2

n1

=‌

λ1

λ2

. . . (ii)
Now, from Eqs. (i) and (ii), we get
ω∝λ∝‌

1

n

∴‌‌‌

ω1

ω2

=‌

n2

n1

Hence, if ω1>ω2 then n2>n1.