Path difference between two wavefronts emitted from coherent sources is 2.1 μm. Phase difference between the wavefronts at that point is 7.692π . Wavelength of light emitted by source will be

Question

Path difference between two wavefronts emitted from coherent sources is 2.1 μm. Phase difference between the wavefronts at that point is 7.692π . Wavelength of light emitted by source will be (A) 5385 Å (B) 5600 Å (C) 5460 Å (D) 5892 Å

Tardigrade Admin · Accepted Answer

Phase difference, φ=(2 π x/λ ) or λ =(2 π x/φ) =2× π × (2.1 × 10- 6/7.692 π )=5460× 10- 10 m

Q. Path difference between two wavefronts emitted from coherent sources is $2.1 μ m .$ Phase difference between the wavefronts at that point is $7.692 π$ . Wavelength of light emitted by source will be

$5385 Å$

$5600 Å$

$5460 Å$

$5892 Å$

Phase difference, $ϕ = \frac{2 π x}{λ}$ or $λ = \frac{2 π x}{ϕ}$
$= 2 \times π \times \frac{2.1 \times 1 0 ^{- 6}}{7.692 π} = 5460 \times 1 0^{- 10} m$

Q. Path difference between two wavefronts emitted from coherent sources is 2.1μm. Phase difference between the wavefronts at that point is 7.692π . Wavelength of light emitted by source will be

5385Å

5600Å

5460Å

5892Å