Work Function of Silver: Solve Problem 18 for eV

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SUMMARY

The work function of silver is calculated to be 59.148 eV using the formula work function = threshold frequency * Planck's constant. The threshold frequency of silver is given as 14.3 x 1015 Hz, and Planck's constant is converted from J·s to eV·s as 4.136 x 10-15 eV·s. The calculation involves multiplying these two values, confirming the work function value with precise conversions.

PREREQUISITES
  • Understanding of Planck's constant (4.136 x 10-15 eV·s)
  • Knowledge of threshold frequency (14.3 x 1015 Hz)
  • Familiarity with energy conversion between Joules and electronvolts (1.602 x 10-19 eV/J)
  • Basic principles of photoelectric effect and work function
NEXT STEPS
  • Study the photoelectric effect and its implications in quantum mechanics
  • Learn about the calculation of work functions for different materials
  • Explore the applications of Planck's constant in quantum physics
  • Investigate the relationship between frequency and energy in electromagnetic radiation
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics, materials science, and photonics, will benefit from this discussion on the work function of silver.

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Problem 18.
The threshold frequency of silver is 14.3*10^15Hz.
What is the work function of silver? Answer in eV.
 
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I figured it out.

work function=threshold frequency * h
=14.3*10^15Hz * 4.14*10^-15
= 59.202
 


To solve this problem, we can use the formula: work function = Planck's constant * threshold frequency.

First, we need to convert the threshold frequency from Hz to s^-1 by dividing it by 1 second. This gives us 14.3*10^15 s^-1.

Next, we need to convert Planck's constant from J*s to eV*s by dividing it by the conversion factor 1.602*10^-19 eV/J. This gives us a value of 4.136*10^-15 eV*s.

Now, we can plug in these values into the formula: work function = 4.136*10^-15 eV*s * 14.3*10^15 s^-1.

Simplifying, we get a work function of 59.148 eV. Therefore, the work function of silver is 59.148 eV.
 

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