A thin sheet of glass (μ=1.5) of thickness 6 micron introduced in...

A thin sheet of glass

(\mu=1.5)

of thickness 6 micron introduced in the path of one of the interfering beams in a double slit experiment shifts the central fringe to a position previously occupied by fifth bright fringe. Then the wavelength of light used is

Options

A $6000 Ã$
B $3000 Ã$
C $4500 Ã$
D $7500 Ã$

Correct answer

A. $6000 Ã$

Step-by-step solution

\mathrm{n} \lambda=(\mu-1) \mathrm{t} ;\therefore \lambda=\frac{(\mu-1) \mathrm{t}}{\mathrm{n}}=\frac{(1.5-1) \times 6 \times 10^{-6}}{5}=6000 \mathrm{ A}

Practice Wave Optics on Quantrex Academy →

More from Wave Optics

Young's double slit experiment is performed in a medium of refractive index of 1.33. The… BITSAT 2024 In YDSE, monochromatic light falls on a screen 1.80 m from two slits separated by 2.08… BITSAT 2024 A microwave of wavelength 2.0 cm falls normally on a slit of width 4.0 cm. The angular… BITSAT 2024 The property of light which cannot be explained by Huygen's construction of wavefront is BITSAT 2024 When a light ray incidents on the surface of a medium, the reflected ray is completely… BITSAT 2024 A single slit of a width a is illuminated by a monochromatic light of wavelength 600 nm .… BITSAT 2023 The ratio of intensities at two points P and Q on the screen in a Young's double slit… BITSAT 2023 In a Young's double slit experiment, the intensities at two points, for the path… BITSAT 2023 Full Wave Optics list All BITSAT PYQs