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IgorC [24]
3 years ago
15

Consider a beam of electrons in a vacuum,passing through a very narrow slit of width 2.00 \;\mu{\rm m} . The electrons then head

toward an array ofdetectors a distance 0.9750 m away. These detectors indicate a diffraction pattern,with a broad maximum of electron intensity (i.e., the number ofelectrons received in a certain area over a certain period of time)with minima of electron intensity on either side, spaced0.493 cm from the center of the pattern. What is the wavelengthlambda of one of the electrons in this beam? Recall that thelocation of the first intensity minima in a single slit diffractionpattern for light is y=L \lambda /a , where Lis the distance to the screen (detector) and a is the width of the slit. The derivation of this formulawas based entirely upon the wave nature of light, so by deBroglie's hypothesis it will also apply to the case of electronwaves.
Express your answer in meters tothree significant figures.
Physics
1 answer:
olganol [36]3 years ago
4 0

Answer:

The wave length is 712 cm

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His total displacement from his original position is -1 m

We know that total displacement of an object from a position x to a position x', d = final position - initial position.

d = x' - x

If we assume the lad's initial position in front of her house is x = 0 m. The lad then moves towards the positive x-axis, 5 m. He then ends up at x' = 5 m. He then finally goes back 6 m.

Since displacement = final position - initial position, and his displacement is d' = -6 m (since he moves in the negative x - direction or moves back) from his initial position of x' = 5 m.

His final position, x" after moving back 6 m is gotten from

x" - x' = -6 m

x" = -6 + x'

x" = -6 + 5

x" = -1 m

Thus, his total displacement from his original position is

d = final position - initial position

d = x" - x

d = -1 m - 0 m

d = -1 m

So, his total displacement from his original position is -1 m

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Momentum is usually not exactly conserved in a real world demonstration of momentum conservation. What is a possible reason for
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Explanation:

According to the question,

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Now the approximate slit's image width is equal to width of central maxima.

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