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Electrons are caused to fall through a p...

Electrons are caused to fall through a potential difference of 1500 volts. If they were initially at rest. Then calculate their final speed.

Text Solution

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The electrical potential energy is converted into kinetic energy. If v is the final speed then
`(1)/(2) mv^(2) =`eV
` v = sqrt((2eV)/(m)) = sqrt((2xx 1.6 xx 10^(-19)xx 1500)/(9.1xx 10^(-31))) = 2.3 xx 10^(7) ms^(-1)`
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Knowledge Check

  • The minimum wavelength of the X -rays produced by electrons accelerated through a potential difference of V volts is directly proportional to

    A
    `1/sqrtV`
    B
    `1/V`
    C
    `sqrtV`
    D
    `V^(2)`

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    A
    `(eV)/( 2m)`
    B
    `( eV)/( m )`
    C
    `sqrt((2eV)/(m)0`
    D
    `sqrt((eV)/(2m))`

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