PYQ Adv 2023 P1 Q8

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Santosh Sir IITK (Apex Physics)

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Published on April 14, 2024 2:43:13 AM ● Video Link: https://www.youtube.com/watch?v=C9N8UrjPaUo

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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]

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