Question:
In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used for metals P and Q while a different source of monochromatic light is used for metal R. The work functions for metals P, Q and R are 4.0 eV, 4.5 eV and 5.5 eV, respectively. The energy of the incident photon used for metal R, in eV, is ___.
In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used for metals P and Q while a different source of monochromatic light is used for metal R. The work functions for metals P, Q and R are 4.0 eV, 4.5 eV and 5.5 eV, respectively. The energy of the incident photon used for metal R, in eV, is ___.
Updated On: May 23, 2024
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Correct Answer: 6
Solution and Explanation
\(\begin{array}{l}\frac{hc}{\lambda _{1}}=\phi _{p}+E_{p}\end{array}\)
\(\begin{array}{l}\frac{hc}{\lambda _{1}}=\phi _{Q}+E_{Q}\end{array}\)
Ep = 2EQ
EP– EQ = 0.5
⇒ Ep = 1.0 eV, EQ = 0.5 eV
ER = 0.5 eV
Energy of incident photon on R = φR + ER = 6 eV
\(\begin{array}{l}\frac{hc}{\lambda _{1}}=\phi _{Q}+E_{Q}\end{array}\)
Ep = 2EQ
EP– EQ = 0.5
⇒ Ep = 1.0 eV, EQ = 0.5 eV
ER = 0.5 eV
Energy of incident photon on R = φR + ER = 6 eV
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Concepts Used:
Dual Nature of Matter
- The concept of Dual Nature of Matter was proposed after various experiments supported both wave as well particle nature of light.
- The particle nature of matter came into the picture when Albert Einstein looked up to the experiment conducted by Max Planck and observed that the wavelength and intensity of matter have a certain impact on the ejected electrons. Experiments such as the photoelectric effect suggested that light has a particle nature, i.e. light travels in form of packets of energy (E = h\(\nu\))
- On the other hand, the wave nature of matter was hypothesised by De-Broglie and confirmed by the Davisson - German experiment.
- Therefore, it’s concluded that matter has dual nature; it means that it has both the properties of a particle as well as a wave.
