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Chapter 27: Q13PE (page 997)

What is the highest-order maximum for 400-nm light falling on double slits separated by 25.0 碌m?

Short Answer

Expert verified

The Highest-order maximum for 400-nm light falling on double slits separated by 25.0 碌m is62.

Step by step solution

01

Given data

The wavelength of the violet light is位=400nm10-9m1nm=4.0脳10-7m

The separation between the two slits isd=25渭尘10-6m1nm=2.5脳10-5m

02

Finding the highest-order maximum

A formula for the angle of the mth-order maximum can be expressed as,

dsin胃=尘位..................................(1)

The highest order occurs when sin胃=1.

Therefore, the substitute for these values in equation (1) will give,

d=尘位m=d位m=2.5'10-5m4.0'10-7mm=62.5

Therefore, we will get a maximum order ofm:62

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Most popular questions from this chapter

(a) If a single slit produces a first minimum at \({\rm{14}}{\rm{.5^\circ }}\),at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).

As the width of the slit producing a single-slit diffraction pattern is reduced, how will the diffraction pattern produce change?

At what angle does a diffraction grating produces a second-order maximum for light having a first-order maximum at 20.0掳?

How do wave effects depend on the size of the object with which the wave interacts? For example, why does sound bend around the corner of a building while light does not?

The limit to the eye鈥檚 acuity is actually related to difdfraction by the pupil.

(a) What is the angle between two just-resolvable points of light for a \(3.00 - mm\)-diameter pupil, assuming an average wavelength of \(550{\rm{ }}nm\)?

(b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are \(1.30{\rm{ }}m\) apart?

(c) What is the distance between two just-resolvable points held at an arm鈥檚 length \(\left( {0.800{\rm{ }}m} \right)\) from your eye?

(d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
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