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A common unit used to measure the energy of small particles is the electron volt ( eV ), which is equal to the magnitude of the charge on the electron (measured in coulombs C ) multiplied by 1 volt ( V ). We know that coulombs multiplied by volts is equivalent to mass multiplied by length squared and divided by time squared.
Which of the following quantities could be written in eV ?
Case A: gravitational potential energy mgh, where mm is the mass of the object, g is the acceleration due to gravity (length divided by time squared), and h is the height of the object measured with respect to a reference position
Case B: electric potential energy Δ, where q is the charge of the particle in coulombs and ΔV is the potential difference in volts through which the particle is being accelerated
Case C: rest energy mc^2, where m is the mass of the object, and c is the speed of light (length divided by time)
a. Case A and Case B
b. Case C
c. Case B
d. Case A and Case C
e. Case A
f. Case B and Case C
g. all of them
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