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

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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?