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A gas containining hydrogen-like ions, w...

A gas containining hydrogen-like ions, with atomic number `Z`, emits photons in transition `n + 2 to n, where n = Z` These photons fall on a metallic plate and eject electrons having minimum de Broglie wavelength `lambda of 5 Å`. Find the value of `Z` , if the work function of metal is `4.2 eV`

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To solve the problem, we will follow these steps: ### Step 1: Calculate the Kinetic Energy of the Ejected Electrons The de Broglie wavelength (\( \lambda \)) of the ejected electrons is given as \( 5 \, \text{Å} \) (or \( 5 \times 10^{-10} \, \text{m} \)). The formula for de Broglie wavelength is: \[ \lambda = \frac{h}{p} ...
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