SECTION-3 : (Maximum Marks : 24)
• This section contains SIX (06) questions.
• The answer to each question is a NON-NEGATIVE INTEGER.
• For each question, enter the correct integer corresponding to the answer using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer.
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +4 If ONLY the correct integer is entered;
Zero Marks : 0 In all other cases.
A Hydrogen-like atom has atomic number Z. Photons emitted in the electronic transitions from level n = 4 to level n = 3 in these atoms are used to perform photoelectric effect experiment on a target metal. The maximum kinetic energy of the photoelectrons generated is 1.95 eV. If the photoelectric threshold wavelength for the target metal is 310 nm, the value of Z is_______.
[Given: hc = 1240 eV-nm and Rhc = 13.6 eV, where R is the Rydberg constant, h is the Planck's constant and c is the speed of light in vacuum]
Text Solution
Verified by Experts3
(3)
n = 4 n = 3
-1.51Z 2 eV -0.85 Z 2 eV
E = E 4 - E 3 = 0.66 Z 2 eV
K max = E-W
0.66 Z 2 1.95 + 4 = 5.95
W = 0.66Z 2 -1.95 = 

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