Question 376: Waves Optics

Question

A double slit experiment is immersed in water of refractive index 1.33. The slit separationis 1 $$\mathrm{mm}$$ and the distance between slit and screen is $$1.33 \mathrm{~m}$$. The slits are illuminated by a light of wavelength $$6300\,\mathop A\limits^o $$. The fringewidth is

Accepted Answer

$$\begin{aligned} & \mathrm{d}=1 \mathrm{~mm}=10^{-3} \mathrm{~m}, \mathrm{D}=1.33 \mathrm{~m} \ & \lambda=6300 \mathop A\limits^o=6.3 	imes 10^{-7} \mathrm{~m} \ & \lambda_w=	ext { wavelength in water }=\frac{6.3 	imes 10^{-7}}{1.33} \mathrm{~m} \ & 	ext { Fringe width } \mathrm{X}=\frac{\lambda_{\mathrm{w}} \mathrm{D}}{\mathrm{d}}=\frac{6.3 	imes 10^{-7} 	imes 1.33}{1.33 	imes 10^{-3}}=6.3 	imes 10^{-4} \mathrm{~m}\end{aligned}$$

Answer

$$4.9 	imes 10^{-4} \mathrm{~m}$$

Answer

$$6.3 	imes 10^{-4} \mathrm{~m}$$

Answer

$$8.6 	imes 10^{-4} \mathrm{~m}$$

Answer

$$5.8 	imes 10^{-4} \mathrm{~m}$$

Waves Optics

A double slit experiment is immersed in water of refractive index 1.33. The slit separationis 1 $\mathrm{mm} and the distance between slit and screen is 1.33 \mathrm{~m}. The slits are illuminated by a light of wavelength 6300\,\mathop A\limits^o $. The fringewidth is

Choose the correct answer: