A thin sheet of glass (μ=1.5) of thickness 6 micron introduced in the path of one of the interfering beams in a double slit experiment shifts the central fringe to a position previously occupied by fifth bright fringe. Then the wavelength of light used is

Question

A thin sheet of glass (μ=1.5) of thickness 6 micron introduced in the path of one of the interfering beams in a double slit experiment shifts the central fringe to a position previously occupied by fifth bright fringe. Then the wavelength of light used is (A) 6000 mathringA (B) 3000 mathringA (C) 4500 mathringA (D) 7500 mathringA

Tardigrade Admin · Accepted Answer

n λ=(μ-1) t ∴ λ=((μ-1) t/n) =((1.5-1) × 6 × 10-6/5)=6000 mathringA

Q. A thin sheet of glass $(μ = 1.5)$ of thickness $6$ micron introduced in the path of one of the interfering beams in a double slit experiment shifts the central fringe to a position previously occupied by fifth bright fringe. Then the wavelength of light used is

$6000 \overset{˚}{A}$

$3000 \overset{˚}{A}$

$4500 \overset{˚}{A}$

$7500 \overset{˚}{A}$

$nλ = (μ - 1) t$
$∴ λ = \frac{( μ - 1 ) t}{n}$
$= \frac{( 1.5 - 1 ) \times 6 \times 1 0 ^{- 6}}{5} = 6000 \overset{˚}{A}$

Q. A thin sheet of glass (μ=1.5) of thickness 6 micron introduced in the path of one of the interfering beams in a double slit experiment shifts the central fringe to a position previously occupied by fifth bright fringe. Then the wavelength of light used is

6000A˚

3000A˚

4500A˚

7500A˚