This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Here's how to calculate the kinetic energy of the ejected electron: Step 1: State the formula for the maximum kinetic energy of an ejected electron. The maximum kinetic energy (KE_max) of an electron ejected during the photoelectric effect is given by Einstein's photoelectric equation: KE_max = hf - where h is Planck's constant, f is the frequency of the incident light, and is the work function of the metal. Step 2: Convert the work function from electron volts (eV) to Joules (J). Given = 6 eV and 1 eV = 1.6 × 10^-19 J. = 6 eV × (1.6 × 10^-19 JeV) = 9.6 × 10^-19 J Step 3: Calculate the energy of the incident photon. Given h = 6.6 × 10^-34 J s and f = 6 × 10^14 Hz. E = hf E = (6.6 × 10^-34 J s) × (6 × 10^14 Hz) E = 39.6 × 10^-20 J E = 3.96 × 10^-19 J Step 4: Calculate the kinetic energy of the ejected electron. Now, substitute the values of E and into the photoelectric equation: KE_max = E - KE_max = (3.96 × 10^-19 J) - (9.6 × 10^-19 J) KE_max = (3.96 - 9.6) × 10^-19 J KE_max = -5.64 × 10^-19 J Since the kinetic energy cannot be negative, this result indicates that the energy of the incident photon (E = 3.96 × 10^-19 J) is less than the work function of the metal ( = 9.6 × 10^-19 J). Therefore, no electrons will be ejected from the metal surface. The kinetic energy of an ejected electron is 0 J because no electrons are ejected. That's 2 down. 3 left today — send the next one.