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Calculate the ratio between the waveleng...

Calculate the ratio between the wavelength of an electron and a proton, if the proton is moving at half the velocity of the electron (mass of the proton `=1.67xx10^(-27)kg`, mass of the electron`=9.11xx10^(-2)m`.

Text Solution

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`lambda_e = h/(m_e v_e) , lambda_p = h/(m_p v_p)`
`(lambda_e)/(lambda_p) = (m_p v_p)/(m_e v_e) , v_p = 1/2 v_e "or" (v_p)/(v_e) = 1/2`
`(lambda_e)/(lambda_p) = (1m_p)/(2m_e) = 1/2 xx (1.67 xx 10^(-27))/(9.11 xx 10^(-31)) = 916.6`.
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