Chapter 33: Q. 21 (page 955)

Light from a helium-neon laser ( $λ = 633 n m$ ) is incident on a single slit. What is the largest slit width for which there are no minima in the diffraction pattern?

Short Answer

Expert verified

The largest width for $a < 633 nm$ in the diffraction pattern

Step by step solution

Helium-neon laser

Helium-neon (He-Ne) lasers are often used for interferometry because they are inexpensive and produce a consistent, visible output. They operate at a wavelength of $633 n m$ by default, although customized versions with outputs at various visible and infrared wavelengths are also available.

Step2:

The angles within which dark fringes are detected in a single-slit experiment are given by

$\sin θ_{p} = \frac{p λ}{a}$

where $a$ is the slit width and $p$ is the order To avoid dark fringes on the screen, the sine must be higher than $1$ , which means that

$\frac{λ}{a} > 1$

Rearrange this,

$a < λ$

By this,

$a < 6.33 \cdot 10^{- 7} m$

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Light from a helium-neon laser ( $λ = 633 n m$ ) is incident on a single slit. What is the largest slit width for which there are no minima in the diffraction pattern?

Short Answer

Step by step solution

Helium-neon laser

Step2:

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Light from a helium-neon laser (λ=633nm) is incident on a single slit. What is the largest slit width for which there are no minima in the diffraction pattern?

Short Answer

Step by step solution

Helium-neon laser

Step2:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Measurements

Rotational Dynamics

Radiation

Magnetism

Electricity

Electrostatics

Study anywhere. Anytime. Across all devices.

Light from a helium-neon laser ( $λ = 633 n m$ ) is incident on a single slit. What is the largest slit width for which there are no minima in the diffraction pattern?