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  • Tell me? Young's double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly:

Young's double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly:

  • Option 1)

    1.25

  • Option 2)

    1.59

  • Option 3)

    1.69

  • Option 4)

    1.78

 

Answers (1)

best_answer

As we learnt in

Fringe Width in a medium -

{\beta }'= \frac{\beta }{\mu }

- wherein

Since wavelength in a medium become \lambda = \frac{\lambda _{o}}{\mu }

 

 

 

Fringe width in air =\frac{\lambda _0D}{d}

Fringe width in any other medium =(\frac{\lambda _0}{\mu }).\frac{D}{d}

According to question

8 \left(\frac{\lambda _0}{\mu }.\frac{D}{d} \right )=(\frac{9}{2})\frac{\lambda_0 D}{d}

or \mu =\frac{16}{9}=1.78


Option 1)

1.25

Incorrect

Option 2)

1.59

Incorrect

Option 3)

1.69

Incorrect

Option 4)

1.78

Correct

Posted by

prateek

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