JEE Main 2023 (Online) 30th January Evening Shift | Structure of Atom Question 44 | Chemistry

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 $a_0$

$r_0=a_0$

$r_0=4 a_0$

$r_0=2 a_0$

$r_0=\frac{a_0}{2}$

JEE Main 2023 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

-1

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

$$\frac{36\lambda}{5}$$

$$\frac{5}{9\lambda}$$

$$\frac{9\lambda}{5}$$

$$\frac{5\lambda}{9}$$

JEE Main 2023 (Online) 25th January Morning Shift

MCQ (Single Correct Answer)

-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

$$\frac{16}{27}x$$

$$\frac{4}{9}x$$

$$\frac{9}{4}x$$

$$\frac{27}{16}x$$

JEE Main 2023 (Online) 24th January Evening Shift

MCQ (Single Correct Answer)

-1

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