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

Option: 1

2 cm,7.5 cm


Option: 2

3 cm, 6 cm


Option: 3

2 cm, 4 cm


Option: 4

4/3 cm, 10/3 cm


Answers (1)

Fringe width, \mathrm{ \beta=\frac{\mathrm{D} \lambda}{\mathrm{d}}}

i.e., \mathrm{\beta \propto \lambda}

So, wavelength \mathrm{\lambda} and hence fringe width \mathrm{\beta} decreases 1.5 times when immersed in liquid. The distance between central maxima and \mathrm{10^{\text {th }}} maxima is \mathrm{3 \mathrm{~cm}} in vacuum. When immersed in liquid it will reduce to \mathrm{2 \mathrm{~cm}}. Position of central maxima will not change while \mathrm{10^{\text {th }}} maxima will be obtained at \mathrm{y=4 \mathrm{~cm}.}

Posted by

Sumit Saini

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