JEE Main 2022 · 30 Jun · Shift 1 · Physics Q59

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PhysicsInteger+4 / -1Question 59 of 90

A hydrogen atom in its first excited state absorbs a photon of energy $x\times10^{-2}$ eV and excited to a higher energy state where the potential energy of electron is $-1.08$ eV. The value of $x$ is ______.

Your answer

Answer and worked solution

Official answer: 286

Level. $U=-\frac{27.2}{n^2}=-1.08$ gives $n=5$ .

Energy from $n=2$ : $13.6\left(\frac14-\frac1{25}\right)=2.856$ eV $\approx286\times10^{-2}$ eV.

Answer: 286

Topics:Bohr model and hydrogen spectrum

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JEE Main 2022 · 30 Jun · Shift 1, Physics question 59