Chapter 38: Q. 49 (page 1116)

An experiment was performed in which neutrons were shot through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits. Figure P38.49 shows the detector output. Notice the $100 μm$ scale on the figure. To one significant figure, what was the speed of the neutrons?

Short Answer

Expert verified

The resultant value is $v = 197 \times 8 \frac{m}{s}$

Step by step solution

Given information

Neutrons were fired through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits in an experiment.

Calculations

In a double slit experiment, we can start with an expression for fringe spacing.

$Δy = \frac{Lλ}{d} λ = \frac{Δyd}{L} (express λ) λ = \frac{h}{mv} (de Broglie wavelength) \frac{Δyd}{L} = \frac{h}{mv} (substitute λ) v = \frac{hL}{mΔrd} (express v) Δy = 70 μm (we can see from graph in the text of the problem) v = \frac{(6 .63 \times 10^{- 34}) \times (3 \times 5)}{(1 .67 \times 10^{- 27}) \times (70 \times 10^{- 6}) \times (0 .1 \times 10^{- 3})} (substitute) v = 197 \times 8 \frac{m}{s}$

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An experiment was performed in which neutrons were shot through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits. Figure P38.49 shows the detector output. Notice the $100 μm$ scale on the figure. To one significant figure, what was the speed of the neutrons?

Short Answer

Step by step solution

Given information

Calculations

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An experiment was performed in which neutrons were shot through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits. Figure P38.49 shows the detector output. Notice the 100μmscale on the figure. To one significant figure, what was the speed of the neutrons?

Short Answer

Step by step solution

Given information

Calculations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Electrostatics

Oscillations

Turning Points in Physics

Torque and Rotational Motion

Famous Physicists

Study anywhere. Anytime. Across all devices.

An experiment was performed in which neutrons were shot through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits. Figure P38.49 shows the detector output. Notice the $100 μm$ scale on the figure. To one significant figure, what was the speed of the neutrons?