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What is the de Broglie wavelength associ...

What is the de Broglie wavelength associated with (a) an electron moving with a speed of `5.4xx10^(6) m//s`, and (b) a ball of mass 150 g travelling at `30.0 m//s`?

Text Solution

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(b) For the ball:
Mass m.=0.150 kg, speed `v.=30.0m//s`
Then momentum p.=m.v.
`=0.150(kg)xx30.0(m//s)`
`p.=4.50kgm//s`
de-Brogile wave length `lambda.=h//p.`.
`=(6.63xx10^(-34)Js)/(4.92xx10^(-24)kgm//s)`
`lambda.=1.47xx10^(-34)m`
The de-Brodgile wavelength of electron is comparable with X-ray wave lengths. However for the balls it is about `10^(-19)` times the size of the proton , quite beyond experimental measurement.
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