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1
JEE Main 2023 (Online) 31st January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from $$\mathrm{n=4}$$ to $$\mathrm{n}=2$$ of $$\mathrm{He}^{+}$$ spectrum

A
$$\mathrm{n}=3$$ to $$\mathrm{n}=4$$
B
$$\mathrm{n}=2$$ to $$\mathrm{n}=1$$
C
$$\mathrm{n}=1$$ to $$\mathrm{n}=2$$
D
$$\mathrm{n}=1$$ to $$\mathrm{n}=3$$
2
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Maximum number of electrons that can be accommodated in shell with $n=4$ are:
A
50
B
32
C
72
D
16
3
JEE Main 2023 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
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 $a_0$
A
$r_0=a_0$
B
$r_0=4 a_0$
C
$r_0=2 a_0$
D
$r_0=\frac{a_0}{2}$
4
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

A
$$\frac{36\lambda}{5}$$
B
$$\frac{5}{9\lambda}$$
C
$$\frac{9\lambda}{5}$$
D
$$\frac{5\lambda}{9}$$
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