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Home » The Young’s double-slit experiment is performed with the light of blue colour (4350 A) and then with green colour (5450 A). Without changing experimental setup, if the distance of the sixth fringe from the centre is determined for both the colours as Xblue and Xgreen • then Xbiue : X green is nearly
The Young’s double-slit experiment is performed with the light of blue colour (4350 A) and then with green colour (5450 A). Without changing experimental setup, if the distance of the sixth fringe from the centre is determined for both the colours as Xblue and Xgreen • then Xbiue : X green is nearly
MHTCET | Physics
The Young’s double-slit experiment is performed with the light of blue colour (4350 A) and then with green colour (5450 A). Without changing experimental setup, if the distance of the sixth fringe from the centre is determined for both the colours as Xblue and Xgreen • then Xbiue : X green is nearly

 

  1. 0.2
  2. 1.2
  3. 0.8
  4. 1.5

Solution: 0.8

We\text{ }know\text{ }that~

Distance\text{ }of\text{ }the~nth~bright\text{ }fringe~is\,given\,by:

{{y}_{n}}=\frac{n\lambda D}{d}

\Rightarrow {{y}_{n}}\propto \lambda

\therefore \frac{{{X}_{blue}}}{{{X}_{green}}}=\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}

\frac{{{X}_{blue}}}{{{X}_{green}}}=\frac{4350}{5450}

\frac{{{X}_{blue}}}{{{X}_{green}}}=0.8

 

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