just need c, my answer enetered in is inocrrect. Find the de Broglie wavelength
ID: 1998602 • Letter: J
Question
just need c, my answer enetered in is inocrrect.
Find the de Broglie wavelength lambda for an electron moving at a speed of 1.00 times 10^th m/s (Note that this speed Is low enough that the classical momentum formula p = mils still valid.) Recall that the mass of an electron is m_c = 9.11 times 10^-31 kind Planck's constant is h = 6.626 times 10^-34 J, middot s Express your answer in meters to three significant figures. Find the de Broglie wavelength lambda of a baseball pitched at a speed of 43.0 m/s. Assume that the mass of the baseball is 0.143 kg Express your answer In meters to three significant figures Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00 mu u The electrons then head toward an array of detectors a distance 1.043 m away. These detectors indicate a diffraction pattern, with a broad maximum of electron intensity (i.e.. the number of electrons received in a certain area over a certain period of time) with minima of electron intensity on either side, spaced 0.515 cm from the center of the pattern. What is the wavelength lambda of one of the electrons in this beam? Recall that the location of the first intensity minima in a single slit diffraction pattern for light is y = L lambda/q where L is the distance to the screen (detector) and alpha is the width of the slit. The derivation of this formula was based entirely upon the wave nature of light, so by de Broglie's hypothesis it will also apply to the case of electron waves. Express your answer In meters to three significant figures.Explanation / Answer
According to the given problem,
deBorglie relationship is:
= h/p where =wavelength and p = momentum
You are given xmin = L/a and the values for xmin, L, and a
Solve for
= a*xmin/L = 2*10-6*0.515*10-2/1.043 = 9.875*10-9m
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