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Standard XII

Physics

YDSE Problems I

In Fresnel's ...

Question

In Fresnel's bi-prism experiment, a mica sheet of refractive index $1.5$ and thickness $6 \times 10^{- 6} m$ is placed in the path of one of interfering beams as a result of which the central fringe gets shifted through five fringe widths.The wavelength of light used is

6000 A^{o}

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8000 A^{o}

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4000 A^{o}

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2000 A^{o}

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Solution

The correct option is C $6000 A^{o}$
Since the central fringe gets shifted by five fringe widths, this means the change in path difference caused is $5 λ$ .
Therefore, $t (μ - 1) = 5 λ$
Hence, $λ = \frac{(6 \times 10^{- 6}) (0.5)}{5} m = 6000 A^{\circ}$

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Similar questions

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In Fresnel's bi-prism experiment, a mica sheet of refractive index 1.5 and thickness 6×10−6m is placed in the path of one of interfering beams as a result of which the central fringe gets shifted through five fringe widths.The wavelength of light used is

The correct option is C 6000AoSince the central fringe gets shifted by five fringe widths, this means the change in path difference caused is 5λ.Therefore, t(μ−1)=5λHence, λ=(6×10−6)(0.5)5m=6000A∘

In Fresnel's bi-prism experiment, a mica sheet of refractive index $1.5$ and thickness $6 \times 10^{- 6} m$ is placed in the path of one of interfering beams as a result of which the central fringe gets shifted through five fringe widths.The wavelength of light used is

The correct option is C $6000 A^{o}$
Since the central fringe gets shifted by five fringe widths, this means the change in path difference caused is $5 λ$ .
Therefore, $t (μ - 1) = 5 λ$
Hence, $λ = \frac{(6 \times 10^{- 6}) (0.5)}{5} m = 6000 A^{\circ}$