Q42 / 51 · JEE Advanced 2023 (Paper 1) · Physics
A Hydrogen-like atom has atomic number . Photons emitted in the electronic transitions from level to level in these atoms are used to perform photoelectric effect experiment on a target metal. The maximum kinetic energy of the photoelectrons generated is . If the photoelectric threshold wavelength for the target metal is , the value of is _____.
[Given and , where is the Rydberg constant, is the Planck’s constant and is the speed of light in vacuum]
A Hydrogen-like atom has atomic number . Photons emitted in the electronic transitions from level to level in these atoms are used to perform photoelectric effect experiment on a target metal. The maximum kinetic energy of the photoelectrons generated is . If the photoelectric threshold wavelength for the target metal is , the value of is _____.
[Given and , where is the Rydberg constant, is the Planck’s constant and is the speed of light in vacuum]
Correct answer: 3
Solution
From Einstein's photoelectric effect, we can write
Now, as we know for Hydrogen like atoms, we can write
Therefore,
Hence, the correct answer is 3.