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Calculate the speed of (a) a proton and (b) an electron

Chapter 20, Problem 18P

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QUESTION:

Problem 18P

Calculate the speed of (a) a proton and (b) an electron after each particle accelerates from rest through a potential difference of 275 V.

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QUESTION:

Problem 18P

Calculate the speed of (a) a proton and (b) an electron after each particle accelerates from rest through a potential difference of 275 V.

ANSWER:

Step 1 of 2:-

Here we have to find the final speeds of a proton and an electron, after each particle releases at zero speed between a potential difference of 275 V.

We know that, the electric potential energy can be written as,

------------(1)

a)

The initial electric potential energy will be converted into the final kinetic energy.

So, from conservation of energy,

For a proton,

So, the speed of the proton will be .

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