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प्रश्न
Two sources of light 0.5 mm apart are placed at a distance of 2.4 m and wavelength of light is 5000 Å. The phase difference between the two light waves interfering on the screen at a point at a distance 3 mm from central bright band is ____________.
पर्याय
`6 pi "radian"`
`3.2 pi "radian"`
`2.5 pi "radian"`
`4 pi "radian"`
उत्तर
Two sources of light 0.5 mm apart are placed at a distance of 2.4 m and wavelength of light is 5000 Å. The phase difference between the two light waves interfering on the screen at a point at a distance 3 mm from central bright band is `2.5 pi "radian"`.
Explanation:
Using,
`"W" = lamda"D"/"d"`
` = (5000 xx 10^-10 xx 2.4)/(0.5 xx 10^-3)`
`= 2.4 xx 10^-3 "m"`
`= 2.4 "mm"`
`therefore "Number of fringes" = 3/2.4 = 1.25`
`therefore "Phase difference,"`
`Delta phi = 2"n"pi`
`= 2 xx 1.25 pi`
` = 2.5 pi "radian"`