Chapter 33: Q. 5 (page 955)

Light of $630 nm$ wavelength illuminates two slits that are $0.25 mm$ apart. FIGURE $EX 33.5$ shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen $?$

Short Answer

Expert verified

The distance to the screen is $1.31 m$ .

Step by step solution

Formula for spacing between the peaks

In the double slit experiment, the position of the brilliant fringes can be written as follows:

$y_{m} = \frac{mλL}{d}$

As a result, the distance between the peaks of any two brilliant fringes is

localid="1649184414720" $Δy = y_{m + 1} - y_{m}$

$= \frac{(m + 1) λL}{d} - \frac{mλL}{d}$

$= \frac{λL}{d}$

Calculation of distance to the screen

To isolate $L$ , rearranging the equation yields,

$L = \frac{dΔy}{λ}$

localid="1649184047902"

∆ y

is the distance between any two succeeding peaks in the given figure, which islocalid="1649184044408"

0.33 m

Thus

$L = \frac{(0.25 \times 10^{- 3} m) \times 0.33 \times 10^{- 2} m}{630 \times 10^{- 9} m}$

$L = 1.31 m$

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Light of $630 nm$ wavelength illuminates two slits that are $0.25 mm$ apart. FIGURE $EX 33.5$ shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen $?$

Short Answer

Step by step solution

Formula for spacing between the peaks

Calculation of distance to the screen

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Light of 630nmwavelength illuminates two slits that are0.25mmapart. FIGURE EX33.5shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen?

Short Answer

Step by step solution

Formula for spacing between the peaks

Calculation of distance to the screen

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Mechanics and Materials

Work Energy and Power

Further Mechanics and Thermal Physics

Fundamentals of Physics

Turning Points in Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

Light of $630 nm$ wavelength illuminates two slits that are $0.25 mm$ apart. FIGURE $EX 33.5$ shows the intensity pattern seen on a screen behind the slits. What is the distance to the screen $?$