A) \[4{{\lambda }_{0}}\]
B) \[2{{\lambda }_{0}}\]
C) \[\frac{{{\lambda }_{0}}}{2}\]
D) \[\frac{{{\lambda }_{0}}}{4}\]
Correct Answer: B
Solution :
Work function of a metal is given by \[w=h{{\nu }_{0}}=\frac{hc}{{{\lambda }_{0}}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{w}_{0}}\propto \frac{1}{{{\lambda }_{0}}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{{{w}_{0}}}{{{w}_{0}}'}=\frac{{{\lambda }_{0}}'}{{{\lambda }_{0}}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{{{w}_{0}}}{\frac{{{w}_{0}}}{2}'}=\frac{{{\lambda }_{0}}'}{{{\lambda }_{0}}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{\lambda }_{0}}'\,\,=\,\,2{{\lambda }_{0}}\]
You need to login to perform this action.
You will be redirected in
3 sec
