A mercury lamp is a convenient source for studying frequency dependence of photoelectric emission, since it gives a number of spectral lines ranging from the UV to the end of the red visible spectrum. In our experiment with rubidium photocell, the following lines from a mercury source were used: `lambda_(1)=3650A^(@), lambda_(2)=4047A^(@), lambda_(3)=4358A^(@), lambda_(4)=5461A^(@), lambda_(5)=6907A^(@)` The stopping voltages, respectively were measured to be:
`V_(01)=1.28V, V_(02)=0.95V, V_(03)=0.74V, V_(04)=0.16V, V_(05)=0V`.
(a) Determine the value of Planck's constant h.
(b) Estimate the threshold frequency and work function for the material.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Convert Wavelengths to Frequencies
We start by converting the given wavelengths (in Angstroms) to frequencies using the formula:
\[ f = \frac{c}{\lambda} \]
where \(c = 3 \times 10^8 \, \text{m/s}\) and \(\lambda\) is in meters.
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