To reason: The reason for which the given situation is impossible.

Question

Coherent electromagnetic waves with wavelength λ pass through a narrow slit of width a. The diffraction pattern is observed on a tall screen that is 2.00 m from the slit. When l = 500 nm, the width on the screen of the central maximum in the diffraction pattern is 8.00 mm. For the same slit and screen, what is the width of the central maximum when λ = 0.125 mm?

Answer 1

Question

Chapter 37, Problem 6P

To determine

To reason: The reason for which the given situation is impossible.

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Coherent electromagnetic waves with wavelength λ pass through a narrow slit of width a. The diffraction pattern is observed on a tall screen that is 2.00 m from the slit. When l = 500 nm, the width on the screen of the central maximum in the diffraction pattern is 8.00 mm. For the same slit and screen, what is the width of the central maximum when λ = 0.125 mm?

Coherent electromagnetic waves with wavelength l pass through a narrow slit of width a. The diffraction pattern is observed on a tall screen that is 2.00 m from the slit. When l = 500 nm, the width on the screen of the central maximum in the diffraction pattern is 8.00 mm. For the same slit and screen, what is the width of the central maximum when l = 0.125 mm?

Why is the following situation impossible? Two narrow slits are separated by 8.00 mm in a piece of metal. A beam of microwaves strikes the metal perpendicularly, passes through the two slits, and then proceeds toward a wall some distance away. You know that the wavelength of the radiationis 1.00 cm ±5%, but you wish to measure it more precisely. Moving a microwave detector along the wall to study the interference pattern, you measure the position of the m = 1 bright fringe, which leads to a successful measurement of the wavelength of the radiation.