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What is the wavelength of an electron moving at a velocityof 0.85*c where c is the speed of light? meters...

Question

What is the wavelength of an electron moving at a velocityof 0.85*c where c is the speed of light? meters

What is the wavelength of an electron moving at a velocity of 0.85*c where c is the speed of light? meters



Answers

What is the wavelength of an electron moving at $3.00 \%$ of the speed of light?

9.11 multiplied by tend to devour minus 31 kilograms. Most of the electron M e equals 9.11 one supplied by turned to the power minus 30 bon kilograms and we lost two of the electron. Li e equals 1500 mater per second and a plane constant H equals 6.63 Multiply by 10 to the power minus 34. Jule. Second, the momentum of the electron is same to the momentum off the baton. And, uh, do broccoli babble. Int lender is Cuban by edge divided by Pete It is a blank constant and beaches uh, momentum. It's divided by B equals H divided by B P is the momentum momentum off electron Marcel's electron times? Um, the lost two of electron solving for Lambda we have 6.63 multiply by 10 to the power minus 34 divided by most of electron ease, 9.11 multiplied by 10 to the power minus 31 kilograms multiplied by lost two of the electron is a 1500 meter per second 15 100 meter per second. Well solving. This week, it Lambda uh, is equal to four point it. 4.85 Multiply by 10 to the power minus seven meters and this can be written is for 85 Multiply. Lie time to the baller minus nine meters. Huh? Tentative Over minus mine is Meno. Therefore, we have 485 nano meters, so babble in nickels, 435 centimeters.

As we all know that lame the is equal to catch by p it can be further return it catch by M e b. So just putting the value in this expression I can write. Lambda is equal to 6.63 into 10 to the power minus 30 for Jules again by 9.11 into 10 to the power minus 31 kg. My duplication 1200 m per second. So on simplification I get Lambda is equal to six point 606 606.5 into 10 to the power minus 9 m. So on simplifying and changing the unit, I get the final value of flame diet 606.5 nm, which is our and said.

And this problem. We're asked to calculate the velocity of an electron with a wavelength of one meter, so wavelength is equal to blanks. Constant divided by linear momentum. Linear momentum can be calculated by mass times velocity, so wavelength equals planks constant, divided by mass times velocity. And then we can multiply velocity and divide by wavelength to get plants constant divided by wavelength. So planks, constant times. Mess plants constant in 6.63 attempts. Tend to the negative 34 jewels. Times seconds. The mass of an electron is 9.11 times 10 to the negative 31 kilograms. And the wavelength, we said, was one meter. So our velocity comes out to 7.28 times, 10 to the negative. 20 negative four meters for a second. This is a for negative for dessert spoon.


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