Dual Nature Of Light Question 251

Question: The work function for tungsten and sodium are 4.5 eV and 2.3 eV respectively. If the threshold wavelength $ \lambda $ for sodium is $ 5460{AA} $ , the value of $ \lambda $ for tungsten is [MP PET 1990]

Options:

A) 5893 Å

B) 10683 Å

C) 2791 Å

D) 528 Å

Show Answer

Answer:

Correct Answer: C

Solution:

Since $ W_{0}=\frac{hc}{{\lambda_{0}}} $ ;
$ \therefore \ \frac{{{(W_{0})}{T}}}{{{(W{0})}{Na}}}=\frac{{\lambda{Na}}}{{\lambda_{T}}} $ or $ {\lambda_{T}}=\frac{{\lambda_{Na}}\times {{(W_{0})}{Na}}}{{{(W{0})}_{T}}} $ $ =\frac{5460\times 2.3}{4.5}=2791\ {\AA} $