# An evacuated tube uses an accelerating voltage of 67 kV to accelerate electrons to hit a copper plate and produce X-rays. How much voltage would be required to cause protons to reach the same speed an electron reaches? (We don't worry that the protons would be going in the opposite direction) 152.40 MV38.56 MV123.02 MV27.54 MV

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An evacuated tube uses an accelerating voltage of 67 kV to accelerate electrons to hit a copper plate and produce X-rays. How much voltage would be required to cause protons to reach the same speed an electron reaches? (We don't worry that the protons would be going in the opposite direction)

152.40 MV
38.56 MV
123.02 MV
27.54 MV
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Step 1

According to the conservation of energy, the electrical energy of the accelerating electron is equal the kinetic energy.

According to the conservation of energy, the electrical energy of the accelerating proton is equal the kinetic energy.

Step 2

Since electron and proton are accelerating at the same speed, find the voltage required to the proton to reach the same speed of an electron.

Step 3

Substitute the values,

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