YDSE in Water

Q. In a YDSE performed with wavelength $\lambda =5890\dot{A}$, the angular fringe width is ${0.40}^{\circ }$. What is the angular fringe width if the entire set - up is immersed in water ? $(\mu =\frac{4}{3})$

1. ${0.15}^{\circ }$
2. ${0.30}^{\circ }$
3. ${0.40}^{\circ }$
4. ${0.50}^{\circ }$

Q. In a Young’s double slit experiment, the fringe width is found to be 0.4 mm. To make things more interesting, if the whole apparatus is immersed in water of refractive index $\frac{4}{3}$ without disturbing the geometrical arrangement, the new fringe width will be:

1. 0.30 mm
2. 0.50 micron
3. 0.40 mm
4. 0.53 mm

Q. The fringe width in air, in Young's experiment is 3.6mm for light of $\lambda =6000\dot{A}$. If the arrangement is immersed in a transparent liquid of $\mu =1.2$ the fringe width would be

1. 4.32mm
2. 3mm
3. 0.33mm
4. 1.8mm

Q.

In Young's double – slit experiment, the y – coordinates of central maxima and ${10}^{th}$ maxima are 2cm and 5cm, respectively. When the YDSE apparatus is immersed in a liquid of refractive index 1.5, the corresponding y – coordinates will be

1. 2 cm, 7.5 cm

2. 3 cm, 6 cm

3. 2 cm, 4 cm

4. $\frac{4}{3}cm,103cm$

Q. Young's double slit experiment is performed using light of wave length $\lambda$. One of the slits is covered by a thin glass sheet of refractive index $\mu$ at this wavelength. The smallest thickness of the sheet to bring the adjacent minimum to the centre of the screen is

1. $\frac{\lambda }{2(\mu -1)}$
   
2. $\frac{\lambda }{(\mu -1)}$
   
3. $\frac{\lambda }{2\mu }$
   
4. $\frac{\lambda }{\mu }$

Q. In a double slit experiment when light of wavelength $400nm$ was used the angular width of the first minima formed on a screen placed $1m$ away was found to be $0.2°$. What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water? (${\mu }_{water}$ = 4/3)

1. $0.266°$
2. $0.15°$
3. $0.05°$
4. $0.1°$

Q. Two sources are placed on x- axis at a separation $d=3\lambda$. An observer starts moving from A on a circular track of radius $R(R>>d)$. How many bright points and dark points will he observe? Find the angular positions of maxima and minima.

1. Total No. of bright spots and dark spots are 12.
2. Total No. of bright spots and dark spots are 3.
3. Angular position of maxima is $\frac{\pi r}{6}$.
4. Angular position of minima is $\frac{\pi r}{12}$.

Q. In a double slit experiment the angular width of a fringe is found to be ${0.2}^{\circ }$ on a screeen $1\text{m}$ away. The wavelength of light used is $6000\AA$. What will be the angular width of a fringe if the entire experimental arrangement is immersed in water? Refractive index of water $=\frac{4}{3}$.

1. ${0.15}^{\circ }$
2. ${0.18}^{\circ }$
3. ${0.2}^{\circ }$
4. ${0.27}^{\circ }$

Q. In a double-slit experiment the angular width of a fringe is found to be 0.2° on a screen placed 1 m away. The wavelength of light used is 600 nm. What will be the angular width of the fringe if the entire experimental apparatus is immersed in water? Take refractive index of water to be 4/3.

Q. The fringe width in air, in Young's experiment is 3.6mm for light of $\lambda =6000\dot{A}$. If the arrangement is immersed in a transparent liquid of $\mu =1.2$ the fringe width would be

1. 4.32mm
2. 3mm
3. 0.33mm
4. 1.8mm