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The kinetic energy of a sub atomic parti...

The kinetic energy of a sub atomic particle is `5.58 xx 10^(-25) J`. Calculate the frequency of the particle wave. ( Planck's constant `h = .6 26 xx 10^(-34) kg m^(2) s^(-1))`

Text Solution

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KE `= ( 1)/( 2) mv^(2) = 5.85 xx 10^(-25) J`
By de Broglie equation,
`lambda = ( h )/( mv)`
But `lambda = ( v)/( V ) = ( v)/( v) = ( h )/( mv) ` or
`v = (mv^(2))/( h ) = ( 2 xx 5.85 xx 10^(-25) J)/( 6.026 xx 10^(-34) J ) `
`= 1.77 xx 10^(9) s^(-1)`
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