Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Wave Optics

Question:

Interference fringes from sodium light (λ = 5890 Å) in a double slit experiment have an angular width 0.20°, To increase the fringe width by 10%, new wavelength should be

Options:

5896 Å

7321 Å

6300 Å

6479 Å

Correct Answer:

6479 Å

Explanation:

$θ_1=\frac{λ_1}{d},\,θ_2=\frac{λ_2}{d}$

$∴\frac{θ_1}{θ_2}=\frac{λ_1}{λ_2}$  $∴λ_2=λ_1×\frac{θ_2}{θ_1}$

or $λ_2=5890×\frac{0.22}{0.20}=6479Å$