WB JEE 2023 | Atoms and Nuclei Question 4 | Physics

WB JEE 2023

MCQ (More than One Correct Answer)

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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?

The radius of n^th orbit $$\mathrm{r_n~\infty ~\sqrt n}$$.

The minimum velocity of the electron is $$\frac{\sqrt{\mathrm{qB} \hbar}}{\mathrm{m}}$$.

Energy of the $$\mathrm{n}^{\text {th }}$$ level $$E_{n} ~\infty~n$$.

Transition frequency $$\omega$$ between two successive levels is independent of n.

WB JEE 2022

MCQ (More than One Correct Answer)

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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?

He⁺ electron moves from n = 2 to n = 4.

In the He⁺ emission spectra, there will be 6 lines.

Smallest wavelength of He⁺ spectrum is obtained when transition taken place from n = 4 to n = 3.

He⁺ electron moves from n = 2 to n = 3.

WB JEE 2017

MCQ (More than One Correct Answer)

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Let v_n and E_n be the respective speed and energy of an electron in the nth orbit of radius r_n, in a hydrogen atom, as predicted by Bohr's model. Then

plot of $${{{E_n}{r_n}} \over {{E_1}{r_1}}}$$ as a function of n is a straight line of slope 0

plot of $${{{r_n}{v_n}} \over {{r_1}{v_1}}}$$ as a function of n is a straight line of slope 1

plot of ln$$\left( {{{{r_n}} \over {{r_1}}}} \right)$$ as a function of ln (n) is a straight line of slope 2

plot of ln $$\left( {{{{r_n}{E_1}} \over {{E_n}{r_1}}}} \right)$$ as a function of ln (n) is a straight line of slope 4

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Chemistry

Physical Chemistry

Some Basic Concepts of Chemistry Atomic Structure Redox Reaction Gaseous State Chemical Equilibrium Liquid Solution Ionic Equilibrium Thermodynamics Chemical Kinetics Radioactivity and Nuclear Chemistry Electrochemistry Solid State Surface Chemistry

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Periodic Table Chemical Bonding Metallurgy Hydrogen and It's Compounds Some s Block Elements Some P Block Elements d and f Block Elements Coordination Compounds

Organic Chemistry

IUPAC Nomenclatures General Organic Chemistry Isomerism Hydrocarbons Halogen Derivatives Alcohol and Ether Aldehyde and Ketone Aromatic Chemistry Carbonyl Compounds Carboxylic Acids and Amines Polymers Biomolecules Practical Chemistry Chemistry In Everyday Life

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Logarithms Sequence and Series Quadratic Equations Complex Numbers Permutations and Combinations Mathematical Induction and Binomial Theorem Matrices and Determinants Vector Algebra Three Dimensional Geometry Probability Statistics Sets and Relations

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Properties of Triangle Inverse Trigonometric Functions Trigonometric Functions & Equations

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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse and Hyperbola

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Functions Limits, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integrals Definite Integration Application of Integration Differential Equations