Embibe Experts Solutions for Chapter: Atoms and Nuclei, Exercise 2: Level 2

The density of nucleus is of the order of

The ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is

The ratio of the longest to the shortest wavelengths in the Brackett series of hydrogen spectra is:

A hydrogen atom is in the $4^{\mathrm{th}}$ excited state, then:

The mass-defect in a nuclear fusion reaction is $0.3$ per cent. The amount of energy released in one $\mathrm{kg}$ of fusion reaction is

The radionuclide ${}^{238}\mathrm{U}$ decays by emitting an alpha particle.
${}^{238}\mathrm{U}\to {}^{234}\mathrm{Th}+{}^4\mathrm{He}$
The atomic masses of the three isotopes are.
${}^{238}\mathrm{U} 238.05079\mathrm{amu}$

${}^{234}\mathrm{U} 234.04363 \mathrm{amu}$

${}^4\mathrm{He} 4.00260 \mathrm{amu}$
What is the maximum kinetic energy of the emitted alpha particle? Express your answer in Joule. $\left(1\mathrm{amu}=1.67\times {10}^{-27} \mathrm{kg}\right)$

Assuming that about $20\mathrm{MeV}$ of energy is released per fusion reaction, ${\mathrm{H}}^2+{}_1\mathrm{H}^3\to {}_0\mathrm{n}^1+{}_2\mathrm{He}^4,$ the mass of ${}_1\mathrm{H}^2$ consumed per day in a future fusion reactor of power $1\mathrm{MW}$ would be approximately

A stationary radioactive nucleus of mass $210$ units disintegrates into an $\alpha$ -particle of mass $4$ units and residual nucleus of mass $206$ units. If the kinetic energy of the $\alpha$-particle is $E$, the kinetic energy of the residual nucleus is