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Find the speed at which the mass of an e...

Find the speed at which the mass of an electron is double of its rest mass.

Text Solution

Verified by Experts

The mass of an elctron at speed v is `= m_0 = (sqrt 1 -v ^(2) /c ^(2) )`
Where m_0 is its rest mass. If `m = 2 m^(0)`
`2 = 1/ ( sqrt 1 -v ^(2) /c ^(2) ) `
or, ` 1 - v^(2) / v^(2) = 1 / 4 `
or, v = (sqrt 3) / 2 c = 2.598 xx 10^(8) m s^(-1)`
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