Chapter 27: Q20PE (page 997)

Using the result of the problem two problems prior, find the wavelength of light that produces fringes $^{7.50 mm}$ apart on a screen $^{2.00 m}$ from double slits separated by $^{0.120 mm}$ (see Figure $^{27.56}$ ).

Short Answer

Expert verified

The wavelength of light is obtained as $^{450 nm}$ .

Step by step solution

Given data

The distance between the two fringes $∆ y = 7.50 mm (\frac{10^{- 3} m}{1 mm}) = 7.50 \times 10^{- 3} m$

The separation between the slits is $d = 0.120 mm (\frac{10^{- 3} m}{1 mm}) = 1.20 \times 10^{- 4} m$

The distance of the screen is x=2.00 m.

Evaluating the wavelength of light

Using the result of the question solved before, we then observe that: $∆ y = \frac{x λ}{d}$ .

We then substitute in this equation using the given values in the problem and solve for $^{λ}$ .

Then, we get:

localid="1654250832565" $λ = \frac{d ∆ y}{x} = \frac{(1.20 \times 10^{- 4} m) \times (7.50 \times 10^{- 3} m)}{2.00 m} = 4.50 \times 10^{- 7} m (\frac{1 nm}{10^{- 9} m}) = 450 nm$

Therefore, the wavelength of light is $^{450 nm}$ .

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Using the result of the problem two problems prior, find the wavelength of light that produces fringes $^{7.50 mm}$ apart on a screen $^{2.00 m}$ from double slits separated by $^{0.120 mm}$ (see Figure $^{27.56}$ ).

Short Answer

Step by step solution

Given data

Evaluating the wavelength of light

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Using the result of the problem two problems prior, find the wavelength of light that produces fringes 7.50mmapart on a screen 2.00mfrom double slits separated by 0.120mm (see Figure 27.56).

Short Answer

Step by step solution

Given data

Evaluating the wavelength of light

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Quantum Physics

Electricity

Particle Model of Matter

Oscillations

Dynamics

Measurements

Study anywhere. Anytime. Across all devices.

Using the result of the problem two problems prior, find the wavelength of light that produces fringes $^{7.50 mm}$ apart on a screen $^{2.00 m}$ from double slits separated by $^{0.120 mm}$ (see Figure $^{27.56}$ ).