Q.

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 1.95eV. If the photoelectric threshold wavelength for the target metal is 310nm, the value of Z is _______.  

[Given: hc=1240eVnm and Rhc=13.6eV 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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answer is 3.

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Detailed Solution

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K.Emax=Ephoton ϕ Ephoton =K.Emax+ϕ=1.95+4=5.95eV13.6Z2132142=5.95Z2×13.6×7144=5.95

Z2=9Z=3

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