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When would wavelength associated with a...

When would wavelength associated with an electron become equal to the wavelength associated with a proton ?
`(m_(e) = 9.1095 xx 10^(-28) g ` and ` m_(p)=1.6725 xx 10^(-24)g)`.

Text Solution

Verified by Experts

According to de-Broglie equation,
`lambda = (h)/(mv)`
For electron `lambda_e = h/(m_e v_e)`
for proton, `lambda_p = h/(m_pv_p)`
But `lambda_e = lambda_p`
`:. " " h/(m_e v_e) = h/(m_p v_p)`
or `" " m_e v_e = m_p v_p`
or `" " v_e = (m_p v_p)/(m_e)`
`= (1.6725 xx 10^(-27))/(9.1095 xx 10^(-31)) xx v_p = 1836 v_p`
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