Answered: What is the wavelength of the wave…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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According to the principles of quantum mechanics, every particle acts like a wave. To demonstrate this, a helium nucleus is shown to exhibit interference as it passes through a double-slit. The helium nucleus has a mass of 6.64 x 10^-27 kg and its speed is 500.0 m/s when is passes through the slits.

a. What is the wavelength of the wave associated with the helium nucleus in nanometers?

b. If the slits are seperated by 1.00 nm and the distance from the slits to the detector (effectively, the "screen") is 15.0 cm, what is the distance, in centimeters, from the central maximum to the first-order maximum of constructive interference?

c. If the uncertainty in the velocity of the helium nucleus is 18 m/s, what is the uncertainty in its position, assuming a simultaneous measurement?

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