Finding Work function and Plank constant

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To find the work function for lithium and Planck's constant, the relationship between maximum kinetic energy, wavelength, and the work function is utilized. The equation h f = work function + kin_max is key, where h is Planck's constant, f is frequency, and kin_max is the maximum kinetic energy. By applying the formula for two different wavelengths and their corresponding kinetic energies, two equations can be established to solve for both the work function and Planck's constant. The user realizes that using the two sets of data provides a system of equations to find the unknowns. This approach effectively addresses the problem presented.
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Homework Statement



In experiments on lithium, Millikan observed a maximum
kinetic energy of 0.550eV when electrons were ejected with 433.9nm light. When 253.5nm light was
used, he observed a maximum kinetic energy of 2.57eV. Using these results find
a) the work function for lithium, and
b) the predicted value of Planck’s constant.


Homework Equations


h f = work function + kin_max





The Attempt at a Solution



for finding work function

since work function=( h c)/ wavlenght

so we know c , the speed of light , wavelenght, and plank constant so we can find it

however b) ask us to find plank constant , we confuses me
 
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modphysnoob said:
1. since work function=( h c)/ wavlenght


Use that formula twice. You're given two sets of max energy and corresponding wavelength. 2 equations, 2 unknowns (work fn and h).
 
Thank you , I just realized that
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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