The radiation corresponding to ` 3 rarr 2` transition of hydrogen atom falls on a metal surface to produce photoelectrons . These electrons are made to enter circuit a magnitic field `3 xx 10^(-4) T` if the ratio of thelargest circular path follow by these electron is `10.0 mm , the work function of the metal is close toA. `1.8 eV`B. `1.1 eV`C. `0.8 eV`D. `1.6 eV`

The radiation corresponding to ` 3 rarr 2` transition of hydrogen atom

1.	The radiation corresponding to ` 3 rarr 2` transition of hydrogen atom falls on a metal surface to produce photoelectrons . These electrons are made to enter circuit a magnitic field `3 xx 10^(-4) T` if the ratio of thelargest circular path follow by these electron is `10.0 mm , the work function of the metal is close toA. `1.8 eV`B. `1.1 eV`C. `0.8 eV`D. `1.6 eV`
Answer» Correct Answer - B Radius of circular path followedb by electron is given by `r = (m v)/(qB) = (sqrt(2m e V))/(eB) = (1)/® (sqrt(2m))/€V` rArr V = (n^(2) r^(2) e)/(2m) = 0.W` for transition between `3 to 2` `E = 13.6 ((1)/(4) - (1)/(9)) = (13.6 xx 5)/(36) = 1.88 eV` work function `= 1.88 eV - 0.8 eV` `= 1.08 eV = 1.1 eV`

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