Physics · Atomic Physics

JEE Advanced 2021 — Paper 2 — Question 9

In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P,Q\mathrm{P}, \mathrm{Q} and R are

EP,EQE_{P}, E_{Q} and ERE_{R}, respectively, and they are related by EP=2EQ=2ERE_{P}=2 E_{Q}=2 E_{R}. In this experiment, the same source of monochromatic light is used for metal P and Q while a different source of monochromatic light is used for the metal R.The work functions for metals P,Q\mathrm{P}, \mathrm{Q} and R are 4.0eV,4.5eV4.0 \mathrm{eV}, 4.5 \mathrm{eV} and 5.5 eV ,

respectively. The energy of the incident photon used for metal RR, in eV , is \qquad _.

Answer: 6

Numerical answer — enter this value.

Step-by-step solution

Let ER=E\mathrm{E}_{\mathrm{R}}=\mathrm{E} Then EQ=EE_{Q}=E

EP=2EE_{P}=2 \mathrm{E} From Einstein's equation for P, Q and R 2E=hv−4.0\begin{gathered} 2 \mathrm{E}=\mathrm{h} v-4.0 \end{gathered} E=hv−4.5\begin{gathered} \mathrm{E}=\mathrm{h} v-4.5 \end{gathered} E=hν′−5.5\begin{gathered} \mathrm{E}=\mathrm{h} \nu^{\prime}-5.5 \end{gathered}

Solving equation (i) and (ii) we get E=0.5\mathrm{E}=0.5 So, hv′=6.0eVh v^{\prime}=6.0 \mathrm{eV}

Answer key and solution verified before publishing.

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Exam
JEE Advanced 2021
Paper
Paper 2
Subject
Physics
Chapter
Atomic Physics
Topic
Photoelectric Effect
In a photoemission experiment, the maximum kinetic energies of… | JEE Advanced 2021 PYQ with Solution · DhiX AI