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  • Interference fringes from sodium light  in a double slit experiment have a

Interference fringes from sodium light  (\lambda=5890 \AA) in a double slit experiment have an angular width 0.20^{\circ}, To increase the fringe width by 10 \%, new wavelength should be

Option: 1

5896 \AA


Option: 2

7321 \AA


Option: 3

6300 \AA


Option: 4

6479 \AA


Answers (1)

best_answer

\mathrm{\theta_{1}=\frac{\lambda_{1}}{d}, \theta_{2}=\frac{\lambda_{2}}{d} }

\mathrm{\therefore \frac{\theta_{1}}{\theta_{2}}=\frac{\lambda_{1}}{\lambda_{2}} \quad \therefore \lambda_{2}=\lambda_{1} \times \frac{\theta_{2}}{\theta_{1}}}

\mathrm{\text { or } \lambda_{2}=5890 \times \frac{0.22}{0.20}=6479 \AA}

Posted by

Ajit Kumar Dubey

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