Dual Nature Of Light Question 395

Question: Light of wavelength $ \text{200 }\overset{o}{\mathop{A}}, $ fall on aluminum surface. Work function of aluminum is 4.2 eV. What is the kinetic energy of the fastest emitted photoelectrons?

Options:

A) 2eV

B) 1eV

C) 4eV

D) 0.2eV

Show Answer

Answer:

Correct Answer: A

Solution:

[a] By Einstein’s equation of photo-electric effect, the maximum kinetic energy of emitted photo-electrons is given by $ E_{k}=hv-W\text{ or }E_{k}=\frac{hc}{\lambda }-W $ Where, h = Planck’s constant v = frequency of incident light W’= work function of metal $ \lambda $ = wavelength of incident light $ E_{k}=\frac{6.6\times {{10}^{-,34}}\times 3\times 10^{8}}{2000\times {{10}^{-,10}}\times 1.6\times {{10}^{-19}}}eV=-,4.2eV $ So, $ E_{k}=2eV $