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Wave Optics

Question

A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes in a Young's double-slit experiment.
Find the distance of the third bright fringe on the screen from the central maximum for wavelength 650 nm.

Solution

Here,
Wavelength of the beam of light, $λ_{1} = 650 nm = 650 \times 10^{- 9} m$
Wavelength of beam of light, $λ_{2} = 520 nm = 520 \times 10^{- 9} m$

Suppose,
$d = distance between two slits$ and,
D is the distance between the screen and slit.

For third bright fringe, n = 3
Distance of third bright fringe from the central maximum, $x = n . λ_{1} . \frac{D}{d}$
$= 3 \times 650 \times 10^{- 7} \times \frac{120}{0.2} = 0.117 cm = 1.17 mm$

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Wave Optics

A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes in a Young's double-slit experiment.
Find the distance of the third bright fringe on the screen from the central maximum for wavelength 650 nm.

Some More Questions From Wave Optics Chapter

What is the shape of the wavefront in each of the following cases:
The portion of the wavefront of light from a distant star intercepted by the Earth.

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

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For Daily Free Study Material Join wiredfaculty

Wave Optics

A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes in a Young's double-slit experiment.Find the distance of the third bright fringe on the screen from the central maximum for wavelength 650 nm.

Some More Questions From Wave Optics Chapter

What is the shape of the wavefront in each of the following cases:The portion of the wavefront of light from a distant star intercepted by the Earth.

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes in a Young's double-slit experiment.
Find the distance of the third bright fringe on the screen from the central maximum for wavelength 650 nm.

What is the shape of the wavefront in each of the following cases:
The portion of the wavefront of light from a distant star intercepted by the Earth.