3.2 Mathematics of Interference

Path-difference conditions fixing the angles of bright and dark fringes, and converting those angles into measured fringe positions on a screen.

University Physics Volume 3, 3.2 Mathematics of Interference

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11 exercises

3.2 Exercise 1

In the system used in the preceding examples, at what angles are the first and the second bright fringes formed?

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3.2 Exercise 3

Why is monochromatic light used in the double slit experiment? What would happen if white light were used?

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3.2 Exercise 5

Calculate the angle for the third-order maximum of 580-nm wavelength yellow light falling on double slits separated by 0.100 mm.

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3.2 Exercise 7

Find the distance between two slits that produces the first minimum for 410-nm violet light at an angle of $45.0 ° .$

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3.2 Exercise 9

What is the wavelength of light falling on double slits separated by $2.00 \mu \text{m}$ if the third-order maximum is at an angle of $60.0 °$ ?

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3.2 Exercise 11

What is the highest-order maximum for 400-nm light falling on double slits separated by $25.0 \mu \text{m}$ ?

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3.2 Exercise 13

What is the smallest separation between two slits that will produce a second-order maximum for 720-nm red light?

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3.2 Exercise 15

(a) If the first-order maximum for monochromatic light falling on a double slit is at an angle of $10.0 °$ , at what angle is the second-order maximum? (b) What is the angle of the first minimum? (c) What is the highest-order maximum possible here?

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3.2 Exercise 17

Using the result of the preceding problem, (a) calculate the distance between fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen. (b) What would be the distance between fringes if the entire apparatus were submersed in water, whose index of refraction is 1.33?

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3.2 Exercise 19

In a double-slit experiment, the fifth maximum is 2.8 cm from the central maximum on a screen that is 1.5 m away from the slits. If the slits are 0.15 mm apart, what is the wavelength of the light being used?

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3.2 Exercise 21

If 500-nm and 650-nm light illuminates two slits that are separated by 0.50 mm, how far apart are the second-order maxima for these two wavelengths on a screen 2.0 m away?

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