1
WB JEE 2026
MCQ (More than One Correct Answer)
+2
-0.5
Change Language

The de-Broglie wavelength of an electron in 4th orbit is (where $r=$ radius of the 1st orbit)

A

$2 \pi r$

B

$4 \pi r$

C

$8 \pi r$

D

$16 \pi r$

2
WB JEE 2025
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let the binding energy per nucleon of nucleus is denoted by ' $E_{b n}$ ' and radius of the nucleus is denoted by ' $r$ '. If mass number of nuclei $A$ and $B$ are 64 and 125 respectively, then
A
$r_A< r_B$
B
$r_A >r_B$
C
$E_{b n A} >E_{b n B}$
D
$E_{b n A}< E_{b n B}$
3
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0
Change Language

A uniform magnetic field B exists in a region. An electron of charge q and mass m moving with velocity v enters the region in a direction perpendicular to the magnetic field. Considering Bohr angular momentum quantization, which of the following statements is/are true?

A
The radius of nth orbit $$\mathrm{r_n~\infty ~\sqrt n}$$.
B
The minimum velocity of the electron is $$\frac{\sqrt{\mathrm{qB} \hbar}}{\mathrm{m}}$$.
C
Energy of the $$\mathrm{n}^{\text {th }}$$ level $$E_{n} ~\infty~n$$.
D
Transition frequency $$\omega$$ between two successive levels is independent of n.
4
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0
Change Language

A sample of hydrogen atom in its ground state is radiated with photons of 10.2 eV energies. The radiation from the sample is absorbed by excited ionized He+. Thenwhich of the following statement/s is/are true?

A
He+ electron moves from n = 2 to n = 4.
B
In the He+ emission spectra, there will be 6 lines.
C
Smallest wavelength of He+ spectrum is obtained when transition taken place from n = 4 to n = 3.
D
He+ electron moves from n = 2 to n = 3.

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