Atom Structure Models

Photon Energy and Electron Transition

The work function $%5CPsi$ is given by: $%5CPsi%20%3D%20%5Cfrac%7Bhc%7D%7B%5Clambda_%7Bth%7D%7D%20%3D%20%5Cfrac%7B1240%7D%7B310%7D%20%3D%204%20%5C%2C%20%5Ctext%7BeV%7D$

The maximum kinetic energy $KE_%7Bmax%7D$ is given by the equation: $KE_%7Bmax%7D%20%3D%20h%5Cnu%20-%20%5CPsi$

Substituting the given values: $1.95%20%3D%20h%5Cnu%20-%204%20%5CRightarrow%20h%5Cnu%20%3D%205.95%20%5C%2C%20%5Ctext%7BeV%7D$

The energy of the photon emitted due to electron transition is: $%5CDelta%20E%20%3D%2013.6%20%5C%2C%20%5Ctext%7BeV%7D%20%5C%2C%20Z%5E2%20%5Cleft(%20%5Cfrac%7B1%7D%7Bn_1%5E2%7D%20-%20%5Cfrac%7B1%7D%7Bn_2%5E2%7D%20%5Cright)$

Substituting the known values: $5.95%20%5C%2C%20%5Ctext%7BeV%7D%20%3D%2013.6%20%5C%2C%20%5Ctext%7BeV%7D%20%5C%2C%20(Z)%5E2%20%5Cleft(%20%5Cfrac%7B1%7D%7B3%5E2%7D%20-%20%5Cfrac%7B1%7D%7B4%5E2%7D%20%5Cright)$

Solving for $Z$ , we get: $Z%20%3D%203$

Final Answer:

The correct value of $Z$ is $%5Cboxed%7B3%7D$ .

High-Yield Trend

Chapter Questions
2 MCQs

Official Solution

Official Solution

Photon Energy and Electron Transition

Final Answer:

Atom Structure Models

High-Yield Trend

Chapter Questions 2 MCQs

Official Solution

Official Solution

Photon Energy and Electron Transition

Final Answer:

Chapter Questions
2 MCQs