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In Young's experiment, the distance between the slits is doubled and the distance between the slit and screen is reduced to half, then the fringe width ____________. -

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Question

In Young's experiment, the distance between the slits is doubled and the distance between the slit and screen is reduced to half, then the fringe width ____________.

Options

  • will not change

  • will become half

  • will be doubled

  • will become 1/4th times

MCQ
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Solution

In Young's experiment, the distance between the slits is doubled and the distance between the slit and screen is reduced to half, then the fringe width will become 1/4th times.

Explanation:

`"W" = (lambda"D")/"d" and "W'" = (lambda"D")/"d"`

`"but  d'"  "d"/2 and "D'" = 2  "D"`

`therefore "W'" = (lambda ("D"))/(2(2"d")`

`= (lambda"D")/(4"d") = "W"/4`

`therefore "Fringe width will become"  1//4^"th" "times"`

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