Formula for electron accelerated across potential difference?

AI Thread Summary
To solve the homework problem, the maximum velocity of an electron accelerated across a potential difference of 54V can be found using the kinetic energy formula, where the energy gained is equal to the charge of the electron multiplied by the potential difference. The deBroglie wavelength can be calculated using the formula λ = h/p, where h is Planck's constant and p is the momentum of the electron. Converting volts to electronvolts is straightforward, as 1 V equals 1 eV, and converting eV to joules can be done by multiplying by the charge of an electron (approximately 1.6 x 10^-19 C). The mass of an electron is approximately 9.11 x 10^-31 kg, which can be easily found through a quick online search. Understanding these conversions and formulas is essential for solving the given physics problems.
juliab
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I got this homework and I don't know what formula to use on these problems:

An electron is accelerated across a potential difference of 54V. (a) Find the maximum velocity of the electron. (b) Calculate the deBroglie wavelength of the electron.

Please help!
 
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1 electron accelerates to 1 eV of energy across a potential difference of 1 V = 1 J/C.

The energy obtained with 54 V would be all kinetic energy since the velocity/energy is non-relativisitic.
 
2 follow-up questions:

How to convert volts into electrovolts?
What's the mass of an electron?
 
juliab said:
2 follow-up questions:

How to convert volts into electrovolts?
What's the mass of an electron?

The question should be how to convert eV to joules? Both this question and the mass of the electron are easily answered with google. You can just type "eV in joules" into the google bar and get google calculator to tell you the answer. Then type "mass of electron".
 

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