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(d) Photons of frequency f are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius r by a magnetic field with magnitude B. What is the work function of the metal?

(d) Photons of frequency f are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius r by a magnetic field with magnitude B. What is the work function of the metal?

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**Problem 2:** (a) In a particular photoelectric experiment, a stopping potential of \( V_s \) is measured when light of wavelength \( \lambda \) is incident on the metal. Now use light of wavelength \( \frac{3\lambda}{2} \) instead. If we still measure a non-zero current at zero applied voltage, what is the new stopping potential, \( V_s' \)? Give a physical explanation for why the stopping potential increased (if you found that it increased), decreased (if you found that it decreased), or stayed the same (if you found that it stayed the same). (b) What is the maximum wavelength of light, \( \lambda_0 \), that can create a current in the photoelectric experiment? Answer in terms of \( \lambda \) and \( V_s \), where \( V_s \) is the stopping potential associated with some wavelength \( \lambda < \lambda_0 \). (c) In a photoelectric experiment, electrons are emitted with maximum kinetic energy \( K \). The light is then replaced by light of half the original wavelength, and the maximum kinetic energy of the electrons becomes \( 4K \). What is the work function of the metal? (d) Photons of frequency \( f \) are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius \( r \) by a magnetic field with magnitude \( B \). What is the work function of the metal?
Transcribed Image Text:**Problem 2:** (a) In a particular photoelectric experiment, a stopping potential of \( V_s \) is measured when light of wavelength \( \lambda \) is incident on the metal. Now use light of wavelength \( \frac{3\lambda}{2} \) instead. If we still measure a non-zero current at zero applied voltage, what is the new stopping potential, \( V_s' \)? Give a physical explanation for why the stopping potential increased (if you found that it increased), decreased (if you found that it decreased), or stayed the same (if you found that it stayed the same). (b) What is the maximum wavelength of light, \( \lambda_0 \), that can create a current in the photoelectric experiment? Answer in terms of \( \lambda \) and \( V_s \), where \( V_s \) is the stopping potential associated with some wavelength \( \lambda < \lambda_0 \). (c) In a photoelectric experiment, electrons are emitted with maximum kinetic energy \( K \). The light is then replaced by light of half the original wavelength, and the maximum kinetic energy of the electrons becomes \( 4K \). What is the work function of the metal? (d) Photons of frequency \( f \) are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius \( r \) by a magnetic field with magnitude \( B \). What is the work function of the metal?
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