Two lasers are shining on a double slit, with slit separation d. Laser 1 has a w

Question

Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 4.90m away from the slits.

Part B:

What is the distance ?ymax?max between the first maxima (on the same side of the central maximum) of the two patterns? Express your answer in meters.

Part C:

What is the distance ?ymax?min between the second maximum of laser 1 and the third minimum of laser 2, on the same side of the central maximum?

Express your answer in meters.

Explanation / Answer

The formula that governs this is y/L = m(wavelength)/d for maxima and

y/L = (m + .5)(wavelength)/d for minima

We need (delta y) for the two wavelenghts given the paramenter in the two parts

For Part B)

Delta y = mL/d(d/15 - d/20)

Delta y = mL(.0167)

Delta y = (4.9)(.0167)

Delta y = .0818 m (8.18 cm)

For Part C

Delta y = L/d(2.5d/15 - 2d/20)

Delta y = L(.0667)

Delta y = (4.9)(.0667)

Delta y = .327 m (32.7 cm)

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