In a Young's double-slit experiment,sodium li | vedclass

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(A) The angular width of a fringe in Young's double-slit experiment is given by $\beta_	heta = \frac{\lambda}{d}$.Since the angular width $\beta_	he

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Increase the wavelength by $589 \ \mathring A$.

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(A) The angular width of a fringe in Young's double-slit experiment is given by $\beta_	heta = \frac{\lambda}{d}$.Since the angular width $\beta_	heta$ is directly proportional to the wavelength $\lambda$ (i.e.,$\beta_	heta \propto \lambda$),if the angular width is increased by $10\%$,the wavelength must also be increased by $10\%$.Given initial wavelength $\lambda = 5890 \ \mathring A$.The required change in wavelength $\Delta \lambda = 10\% 	ext{ of } \lambda = 5890 	imes \frac{10}{100} = 589 \ \mathring A$.Therefore,the wavelength should be increased by $589 \ \mathring A$.

In a Young's double-slit experiment,sodium light of wavelength $5890 \ \mathring A$ is used,and the angular width of the fringe is found to be $0.20^\circ$. If the angular width is to be increased by $10\%$,what is the required change in the wavelength?

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