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Nataly_w [17]
3 years ago
7

If the stopping potential of a metal when illuminated with a radiation of wavelength 480 nm is 1.2 V, find (a) the work function

of the metal, (b) the cutoff wavelength of the metal, and (c) the maximum energy of the ejected electrons
Physics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

a) \phi=2.22\times10^{-19}\, J

b) \lambda_0=900 \, nm

c) K_{max}=e\cdot V_0=1.922\times 10^{-19}\, J

Explanation:

a)  

We have that for the photoelectric effect the maximum kinetic energy for the electrons is given by:

K_{max}=\frac{hc}{\lambda}-\phi=e\cdot V_0

From the previous we get:

\phi=\frac{hc}{\lambda}-e\cdotV_0\=2.22\times10^{-19} \, J

Where we used the fact that h=6.63\times 10^{-34} \, J.s,e=1.602\times 10^{-19} \, C and c=3\times 10^{8}\, m/s.

b)

The work function is defined as:

\phi=\frac{hc}{\lambda_{0}}\implies\lambda_0=\frac{hc}{\phi}=9.0\times10^{-7}=900 \, nm

Where \lambda_0 is the cutoff wavelength.

c)

As said before:

K_{max}=e\cdotV_0=1.602\times 10^{-19}=1.922\times 10^{-19} J

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Another way of analyzing it is that the charge on one side of the crockery creates an outgoing electric field in the center, the charge on the other side of the crockery creates a field of equal magnitude, but in the opposite direction, so the resulting field is zero. .

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d) to the direction of the electric field as the charge is positive is leaving the plate

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