1

JEE Main 2023 (Online) 30th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

The wave function $(\Psi)$ of $2 \mathrm{~s}$ is given by

$$ \Psi_{2 \mathrm{~s}}=\frac{1}{2 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{1 / 2}\left(2-\frac{r}{a_0}\right) e^{-r / 2 a_0} $$

At $r=r_0$, radial node is formed. Thus, $r_0$ in terms of $a_0$

$$ \Psi_{2 \mathrm{~s}}=\frac{1}{2 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{1 / 2}\left(2-\frac{r}{a_0}\right) e^{-r / 2 a_0} $$

At $r=r_0$, radial node is formed. Thus, $r_0$ in terms of $a_0$

2

JEE Main 2023 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

The shortest wavelength of hydrogen atom in Lyman series is $$\lambda$$. The longest wavelength is Balmer series of He$$^+$$ is

3

JEE Main 2023 (Online) 25th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

The radius of the $$\mathrm{2^{nd}}$$ orbit of $$\mathrm{Li^{2+}}$$ is $$x$$. The expected radius of the $$\mathrm{3^{rd}}$$ orbit of $$\mathrm{Be^{3+}}$$ is

4

JEE Main 2023 (Online) 24th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

The number of s-electrons present in an ion with 55 protons in its unipositive state is

Questions Asked from Structure of Atom (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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