Chapter 37: Q. 30 (page 1083)

You learned in Chapter 36 that mass has an equivalent amount of energy. What are the energy equivalents in $MeV$ of the rest masses of an electron and a proton?

Short Answer

Expert verified

For electron mass is, $m_{e} = 5.12 \times 10^{5} eV$ and for proton mass is, $m_{p} = 9.39 \times 10^{8} eV$

Step by step solution

Given Information

We know, mass has an equivalent amount of energy.

Calculation

The rest mass energy equivalent is $E = m c^{2}$ in jule and in $eV$ it will be $\frac{m c^{2}}{1.6 \times 10^{- 19}} eV$ . Where mass is taken in $kg$ and velocity of llght is $c = 3 \times 10^{8} m / s$ .
So for electron mass is $m_{e} = 9.1 \times 10^{- 31} kg$ . Therefore energy is
$E = \frac{9.1 \times 10^{- 31} \times {(3 \times 10^{8})}^{2}}{1.6 \times 10^{- 19}} = 5.12 \times 10^{5} eV$
For proton mass is $m_{p} = 1.67 \times 10^{- 27} kg$ , So energy is
$E_{p} = \frac{1.67 \times 10^{- 27} \times {(3 \times 10^{8})}^{2}}{1.6 \times 10^{- 19}} = 9.39 \times 10^{8} eV$

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You learned in Chapter 36 that mass has an equivalent amount of energy. What are the energy equivalents in $MeV$ of the rest masses of an electron and a proton?

Short Answer

Step by step solution

Given Information

Calculation

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You learned in Chapter 36 that mass has an equivalent amount of energy. What are the energy equivalents in MeVof the rest masses of an electron and a proton?

Short Answer

Step by step solution

Given Information

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fields in Physics

Mechanics and Materials

Physics of Motion

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Study anywhere. Anytime. Across all devices.

You learned in Chapter 36 that mass has an equivalent amount of energy. What are the energy equivalents in $MeV$ of the rest masses of an electron and a proton?