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White light is passed through a double s...

White light is passed through a double slit and interference pattern is observed on a secreen 2.5 m away. The separation between the slits is 0.5 mm. The first violet and red frings are formed 2.0 mm and 3.5 mm away from the central white fringe. Calculate the wavelegths of the violet and the red light.

Text Solution

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The correct Answer is:
300
`y_(1) = (lambda_(r) D)/( d)`
`y_(2) = (lambda_(v) D)/( d)`
`lambda _(r) - lambda_(v) = (y_(1) - y_(2)) (d)/(D) = (3.5 - 2) m m xx (0.3 m m )/( 1. 5 m) = 300 nm `
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