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प्रश्न
Light of wavelength 600 nm that falls on a pair of slits producing interference pattern on a screen in which the bright fringes are separated by 7.2 mm. What must be the wavelength of another light which produces bright fringes separated by 8.1 mm with the same apparatus?
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उत्तर
`beta = (lambda "D")/"d"`
β ∝ λ
`beta_1/beta_2 = lambda_1/lambda_2`
Given: β1 = 7.2 mm, β2 = 8.1 mm, λ1 = 600 nm, λ2 = ?
`lambda_2 = (lambda_1 beta_2)/beta_1`
`lambda_2 = (600 xx 8.1)/7.2`
λ2 = 675 nm
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संबंधित प्रश्न
A long narrow horizontal slit is paced 1 mm above a horizontal plane mirror. The interference between the light coming directly from the slit and that after reflection is seen on a screen 1.0 m away from the slit. Find the fringe-width if the light used has a wavelength of 700 nm.
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Answer in brief:
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(cos 60° = 0.5, `lambda` = wavelength of light, d = slit width)
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