1.

de Broglie (1924) predicted that small particles such as electrons should show wave -like properties along with paticle character. The wave length(lamda) associated with particle of mass m and moving with velocity v is given as lamda=h/(mv) where 'h' is plank's constant. The wave nature was confirmed by Davisson andGermer's experiment and modified equation for calculation of lamda can be given as: lamda=-h/(sqrt(2Em)) where E= kinetic energy of particle. lamda=h/(sqrt(2dVm)), where d= change of particle accelerated potnetial of V volt. The ratio of de-Broglie chi wavelength of molecules of H_(2) and He at 27^(@)C adn 127^(@)C respectively is

Answer»

1.633
0.612
1.265
0.79

Solution :`LAMDA=h/(MV)`
`lamda_(H_(1))=h/(m_(H_(2))sqrt((3RT_(1))/(mH_(2))))`
`lamda_(H_(e))=h/(m_(H_(e))sqrt((3RT_(2))/(mH_(e))))`
`(lamda_(H_(2)))/(lamda_(H_(2)))=sqrt((T_(2)xxm_(H_(e)))/(T_(xxm_(H_(2))))`
`=sqrt((400xx4xx10^(-3))/(300xx2xx10^(-3)))`
`=sqrt(8/3)`
`=1.633`
Hence a is the correct OPTION.


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