In a double-slit experiment,the angular width | vedclass

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(A) The angular width of the fringes in a double-slit experiment is given by the formula $	heta = \frac{\lambda}{d}$,where $\lambda$ is the wavelengt

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Increase of $589 \ \mathring{A}$

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(A) The angular width of the fringes in a double-slit experiment is given by the formula $	heta = \frac{\lambda}{d}$,where $\lambda$ is the wavelength of light and $d$ is the distance between the slits.Since $	heta \propto \lambda$,to increase the angular width $	heta$ by $10\%$,the wavelength $\lambda$ must also be increased by $10\%$.The required change in wavelength is $\Delta\lambda = 10\% 	ext{ of } \lambda = \frac{10}{100} 	imes 5890 \ \mathring{A} = 589 \ \mathring{A}$.Therefore,the wavelength must be increased by $589 \ \mathring{A}$.

In a double-slit experiment,the angular width of the fringes is $0.20^o$ for sodium light $(\lambda = 5890 \ \mathring{A})$. In order to increase the angular width of the fringes by $10\%$,the necessary change in the wavelength is:

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