Chapter 33: Q. 4 (page 955)

Light of wavelength $550 nm$ illuminates a double slit, and the interference pattern is observed on a screen. At the position of the $m = 2$ bright fringe, how much farther is it to the more distant slit than to the nearer slit $?$

Short Answer

Expert verified

Distance of distant slit than to the nearer slit is $1 μm$ .

Step by step solution

Definition for path distance

The path difference between the two slits to the fringe is an integral number of light wavelengths, constructive interference occurs, resulting in vivid fringes.

When the route difference is a half-integral number of wavelengths, destructive interference and dark fringes occur.

Calculation for distance

To find path difference first we calculate phase difference.

Phase difference is,

$∆ phase = 2 mπ$

Where,

$m$ is number of bright fringe

So,

$∆ phase = 2 \times 2 \times π$

$= 4 π$

path difference,

$∆ D = \frac{λ}{2 π} \times ∆ phase$

$∆ D = \frac{λ}{2 π} \times 4 π$

$∆ D = 2 \times λ$

$∆ D = 2 \times 5 \times 10^{- 7}$

$∆ D = 1 μm$

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Light of wavelength $550 nm$ illuminates a double slit, and the interference pattern is observed on a screen. At the position of the $m = 2$ bright fringe, how much farther is it to the more distant slit than to the nearer slit $?$

Short Answer

Step by step solution

Definition for path distance

Calculation for distance

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Light of wavelength550nm illuminates a double slit, and the interference pattern is observed on a screen. At the position of the m=2 bright fringe, how much farther is it to the more distant slit than to the nearer slit?

Short Answer

Step by step solution

Definition for path distance

Calculation for distance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Electric Charge Field and Potential

Dynamics

Electrostatics

Force

Circular Motion and Gravitation

Study anywhere. Anytime. Across all devices.

Light of wavelength $550 nm$ illuminates a double slit, and the interference pattern is observed on a screen. At the position of the $m = 2$ bright fringe, how much farther is it to the more distant slit than to the nearer slit $?$