JEE Main 2022 (Online) 25th July Evening Shift | Atoms and Nuclei Question 99 | Physics

Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength $$\lambda$$. The value of principal quantum number '$$n$$' of the excited state will be : ($$\mathrm{R}:$$ Rydberg constant)

$$\sqrt{\frac{\lambda \mathrm{R}}{\lambda-1}}$$

$$\sqrt{\frac{\lambda \mathrm{R}}{\lambda \mathrm{R}-1}}$$

$$\sqrt{\frac{\lambda}{\lambda \mathrm{R}-1}}$$

$$\sqrt{\frac{\lambda R^{2}}{\lambda R-1}}$$

JEE Main 2022 (Online) 25th July Morning Shift

MCQ (Single Correct Answer)

-1

The momentum of an electron revolving in $$\mathrm{n}^{\text {th }}$$ orbit is given by :

(Symbols have their usual meanings)

$$\frac{\mathrm{nh}}{2 \pi \mathrm{r}}$$

$$ \frac{n h}{2 r} $$

$$ \frac{\mathrm{nh}}{2 \pi} $$

$$\frac{2 \pi r}{\mathrm{nh}}$$

JEE Main 2022 (Online) 25th July Morning Shift

MCQ (Single Correct Answer)

-1

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by :

$$ \vec{\mu}_{\mathrm{L}}=\frac{\overrightarrow{\mathrm{eL}}}{2 \mathrm{~m}} $$

$$\vec{\mu}_{\mathrm{L}}=-\frac{\overrightarrow{\mathrm{eL}}}{2 \mathrm{~m}}$$

$$\vec{\mu}_{l}=-\frac{\overrightarrow{e L}}{\mathrm{~m}}$$

$$ \vec{\mu}_{l}=\frac{2 \overrightarrow{\mathrm{eL}}}{\mathrm{m}} $$

JEE Main 2022 (Online) 30th June Morning Shift

MCQ (Single Correct Answer)

-1

A hydrogen atom in ground state absorbs 12.09 eV of energy. The orbital angular momentum of the electron is increased by :

1.05 $$\times$$ 10^$$-$$34 Js

2.11 $$\times$$ 10^$$-$$34 Js

3.16 $$\times$$ 10^$$-$$34 Js

4.22 $$\times$$ 10^$$-$$34 Js

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