Chapter 35: Q101P (page 1080)

Find the slit separation of a double-slit arrangement that will produce interference fringes $0.018 rad$ apart on a distant screen when the light has wavelength $λ = 589 nm$ .

Short Answer

Expert verified

Thus, the wavelength of visible light is $33 μ m$ .

Step by step solution

According to the question.

In the case of a distant screen the angle $θ$ is close to zero so $s i n θ \approx θ$

Thus, solve further gives:

$Δ θ \approx Δ s i n θ = Δ (\frac{m λ}{d}) = \frac{λ}{d} Δ m Δ θ = \frac{λ}{d}$

Here, $λ$ is wavelength of light in air/vacuum.

The wavelength of visible light.

Use the above formula as follows:

$d = \frac{λ}{Δ θ} = \frac{589 \times 10^{- 9} m}{0.018 r a d} = 3.3 \times 10^{- 5} m = 33 μ m$

Hence, the wavelength of visible light is $33 μ m$ .

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Find the slit separation of a double-slit arrangement that will produce interference fringes $0.018 rad$ apart on a distant screen when the light has wavelength $λ = 589 nm$ .

Short Answer

Step by step solution

According to the question.

The wavelength of visible light.

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Find the slit separation of a double-slit arrangement that will produce interference fringes0.018 radapart on a distant screen when the light has wavelengthλ=589 nm.

Short Answer

Step by step solution

According to the question.

The wavelength of visible light.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Work Energy and Power

Measurements

Geometrical and Physical Optics

Fields in Physics

Mechanics and Materials

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

Find the slit separation of a double-slit arrangement that will produce interference fringes $0.018 rad$ apart on a distant screen when the light has wavelength $λ = 589 nm$ .