A thin mica sheet of thickness 2 × 10-6 m and refractive index (μ=1.5) is introduced in the path of the first wave. The wavelength of the wave used is 5000 mathringA The central bright maximum will shift:

Question

A thin mica sheet of thickness 2 × 10-6 m and refractive index (μ=1.5) is introduced in the path of the first wave. The wavelength of the wave used is 5000 mathringA The central bright maximum will shift: (A) 2 fringes upward (B) 2 fringes downward (C) 10 fringes upward (D) None of these

Tardigrade Admin · Accepted Answer

Shift =(β/λ)(μ-1) t =(β(1.5-1) 2 × 10-6/5000 × 10-10) shift =(β × 0.5 × 2 × 10-6/5000 × 10-10) shift =(β × 0.5 × 2 × 10-6/5 × 10-7) shift =2 β i.e., 2 fringes upward

Q. A thin mica sheet of thickness $2 \times 1 0^{- 6} m$ and refractive index $(μ = 1.5)$ is introduced in the path of the first wave. The wavelength of the wave used is $5000 \overset{˚}{A}$ The central bright maximum will shift:

$2$ fringes upward

$2$ fringes downward

$10$ fringes upward

None of these

Q. A thin mica sheet of thickness 2×10−6m and refractive index (μ=1.5) is introduced in the path of the first wave. The wavelength of the wave used is 5000A˚ The central bright maximum will shift:

2 fringes upward

2 fringes downward

10 fringes upward

None of these

Shift =λβ​(μ−1)t =5000×10−10β(1.5−1)2×10−6​ shift =5000×10−10β×0.5×2×10−6​ shift =5×10−7β×0.5×2×10−6​ shift =2β i.e., 2 fringes upward

Q. A thin mica sheet of thickness $2 \times 1 0^{- 6} m$ and refractive index $(μ = 1.5)$ is introduced in the path of the first wave. The wavelength of the wave used is $5000 \overset{˚}{A}$ The central bright maximum will shift:

$2$ fringes upward

$2$ fringes downward

$10$ fringes upward