EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 21 - Atoms and Nuclei>JEE Advanced Paper 1 - 2021>Q 16

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JEE Advanced

IMPORTANT

Earn 100

Which of the following statement(s) is (are) correct about the spectrum of hydrogen atom?

36.14% studentsanswered this correctly

Important Questions on Atoms and Nuclei

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 21 - Atoms and Nuclei>JEE Advanced Paper 1 - 2020>Q 17

A particle of mass

m

moves in circular orbits with potential energy

U (r) = F r

, where

F

is a positive constant and

r

is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle's orbit is denoted by

R

and its speed and energy are denoted by

v

and

E

respectively, then for the

n^{th}

orbit (here

h

is the Planck's constant)

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JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 21 - Atoms and Nuclei>JEE Advanced Paper 1 - 2019>Q 18

In a radioactive sample,

_{19}^{40} K

nuclei either decay into stable

_{20}^{40} C a

nuclei with decay constant

4.5 \times 10^{- 10}

per year or into stable

_{18}^{40} A r

nuclei with decay constant

0.5 \times 10^{- 10}

per year. Given that in this sample all the stable

_{20}^{40} C a

and

_{18}^{40} A r

nuclei are produced by the

_{19}^{40} K

nuclei only. In time

t \times 10^{9}

years, if the ratio of the sum of stable

_{20}^{40} C a

and

_{18}^{40} A r

nuclei to the radioactive

_{19}^{40} K

nuclei is

99,

the value of t will be : [Given

l n 10 = 2.3

]

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JEE Advanced

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 21 - Atoms and Nuclei>JEE Advanced Paper 1 - 2016>Q 21

Highly excited states for hydrogen like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principal quantum number n, where n >> 1. Which of the following statement(s) is (are) true?