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How fast must a 5 4 g tennis ball travel in order to have a de Broglie wavelength that equal to that of a photon of green light 5400overset(0)(A)?

Answer»

SOLUTION :m=mass of TENNIS ball =`54 g =5.4xx10^(-2)kg.`
`gamma`=DE Broglie wacelength`=5400overset(0)(A)=5400xx10^(-10)m`
`gamma=4/(mV)`
`V=h/(gamma.m)`
`(6.626xx10^(-34))/(5400xx10^(10)xx5.4xx10^(-2))`
`=(6.626xx10^(-34)xx10^(10)xxcancel(10^(2)))/(cancel(5400)x5.4)`
`=(6.626xx10^(-24))/(54xx5.4)`
`=(6.626xx10^(-24))/(291.6)`
`=2.27xx10^(26)m`


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