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How far apart are the fringes in the center of the pattern on a screen 4.3 m away?

Express your answer to two significant figures and include the appropriate units.

Answer :

Final answer:

The distance between fringes in the center of the pattern on a screen 4.3 m away is approximately 0.0238 m or 23.8 mm.

Explanation:

The distance between fringes in the center of the pattern can be calculated using the formula:

d = λL / D

where d is the distance between fringes, λ is the wavelength of light, L is the distance between the double slits, and D is the distance between the screen and the double slits.

Plugging in the given values, we have:

d = (633 nm) x (3.00 m) / (0.0800 mm)

Converting the units to meters and millimeters to meters, we get d ≈ 0.0238 m or 23.8 mm.

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