Question

A photon has energy \(6\,\text{eV}\). The corresponding work function of a metal is \(2\,\text{eV}\). The maximum kinetic energy of the emitted photoelectron is

• A. \(2\,\text{eV}\)
• B. \(4\,\text{eV}\)
• C. \(6\,\text{eV}\)
• D. \(8\,\text{eV}\)

Hint:

Photoelectric equation: \[ \boxed{K_{\max}=h\nu-\phi} \] where \[ \phi=\text{Work Function} \] and \[ h\nu=\text{Photon Energy} \] Remember: \[ \boxed{\text{Photon Energy = Work Function + Kinetic Energy}} \]

Answer 1

The Correct Option is B

Step 1: Recall Einstein's photoelectric equation. \[ K_{\max}=h\nu-\phi \] where \[ h\nu=6\,\text{eV} \] and \[ \phi=2\,\text{eV} \]

Step 2: Substitute the values. \[ K_{\max}=6-2 \] \[ K_{\max}=4\,\text{eV} \]

Step 3: Identify the correct option. \[ \boxed{K_{\max}=4\,\text{eV}} \] Therefore, \[ \boxed{\text{(B)}} \] is the correct answer.