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The rest mass of a proton is 1.67xx10^(-...

The rest mass of a proton is `1.67xx10^(-27)` kg Its total energy when it moves with a speed of `2.1 xx10^(8)` m/s is

A

`2.105xx10^(-10) J`

B

`20.16xx10^(-10) J`

C

`2.105xx10^(-9) J`

D

`20.15xx10^(-9) J`

Text Solution

Verified by Experts

The correct Answer is:
A
`m=m_(0)/sqrt(1-v^(2)/c^(2))=(1.67xx10^(-27))/sqrt(1-((2.1xx10^(8))/(3xx10^(8)))^(2))`
`m=2.3386xx10^(-27) kg`
`:. E= mc^(2)`
`=2.3386xx10^(-27)xx9xx10^(16)`
`=2.105xx10^(-10) J`
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Find the rest mass energy of a proton in MeV. [m_(p) = 1.673 xx 10^(-27) kg]

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Knowledge Check

  • The rest mass of a proton is 1.67xx10^(-27) kg. the kinetic energy of proton when it moves with a speed of 2.1xx10^(8) m/s is

    A
    `6xx10^(-12) J`
    B
    `5xx10^(-11) J`
    C
    `6xx10^(-11)J`
    D
    `7xx10^(-11) J`

  • The rest mass of an electron is 9.1 xx10^(-31) kg. Its kinetic energy when it moves with a speed of 2.4xx10^(8) m/s is

    A
    `5.45xx10^(-14) J`
    B
    `54.36xx10^(-14) J`
    C
    `56.43xx10^(-14) J`
    D
    `53.46xx10^(-14)J`

  • The mass of an electron at rest is 9.1 xx10^(-31) kg. the mass of an electron, when it is moving with a speed of 2.4xx10^(8) m/s is (c=3xx10^(8) m//s)

    A
    `1.517xx10^(-31)` kg
    B
    `15.17xx10^(-31)` kg
    C
    `151.7xx10^(-31)` kg
    D
    `1517xx10^(-31)` kg

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    Rest mass of 1 mole neutrons (m_(n)=1.675xx10^(-27)kg) is:

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