Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

Photons with a frequency of 1.0 × 10^20 Hz strike a metal surface. If electrons with a maximum kinetic energy of 3.0 × 10^-14 J are emitted, the work function of the metal is
Options
A 1.0 × 10^-14 J
B 2.2 × 10^-14 J
C 3.6 × 10^-14 J
Correct Answer
D 6.6 × 10^-14 J
Correct Answer

Option C is the correct answer.

Detailed Explanation

The photoelectric equation is E_photon = φ + K_max, where E_photon = hf. h = 6.626 × 10^-34 Js. E_photon = (6.626 × 10^-34)(1.0 × 10^20) = 6.626 × 10^-14 J. φ = E_photon - K_max = 6.626 × 10^-14 - 3.0 × 10^-14 = 3.626 × 10^-14 J ≈ 3.6 × 10^-14 J.

Hint

Use the photoelectric equation: hf = φ + K_max.

Question Info