S C Kheterpal, S N Dhawan and, P N Kapil Solutions for Chapter: Structure of Atom, Exercise 6: PROBLEMS FOR PRACTICE

A tennis ball of mass $6.0\times {10}^{-2} \mathrm{k}\mathrm{g}$ is moving with a speed of $62 \mathrm{m} {\mathrm{s}}^{-1}.$ Calculate the wavelength associated with this moving tennis ball. Will the movement of this ball exhibit a wave character? Explain.

Calculate de Broglie wavelength of an electron moving with $1\mathrm{\%}$ of the speed of light.

The sodium flame test has a characteristic yellow colour due to the emissions of wavelength $589\mathrm{}\mathrm{n}\mathrm{m}.$ What is the mass equivalence of one photon of this wavelength?

Calculate the wavelength of an electron that has been accelerated in a particle accelerator through a potential difference of $100$ million volts.
$\left[1\mathrm{e}\mathrm{V}=1.6\times {10}^{-19} \mathrm{J}, {\mathrm{m}}_{\mathrm{e}}=9.1\times {10}^{-31} \mathrm{k}\mathrm{g}, \mathrm{h}=6.6\times {10}^{-34} \mathrm{J}\mathrm{s}, \mathrm{c}=3.0\times {10}^8{ \mathrm{m}\mathrm{s}}^{-1}\right]$

Calculate the kinetic energy of an $\mathrm{\alpha }$-particle which has a wavelength of $12 \mathrm{p}\mathrm{m}.$

A moving electron has $4.55\times {10}^{-25} \mathrm{j}\mathrm{o}\mathrm{u}\mathrm{l}\mathrm{e}\mathrm{s}$ of kinetic energy. Calculate its wavelength (mass $=9.1\times {10}^{-31} \mathrm{k}\mathrm{g}$ and $\mathrm{h}=6.6\times {10}^{-34} \mathrm{k}\mathrm{g}{\mathrm{m}}^2{\mathrm{s}}^{-1}$).

The energy of an $\mathrm{\alpha }$-particle is $6.8\times {10}^{-18}\mathrm{J}.$ What will be the wavelength associated with it?

Calculate the ratio between the wavelength of an electron and a proton if the proton is moving with half the velocity of electron (Mass of proton $=1.67\times {10}^{-27}\mathrm{k}\mathrm{g}$ and mass of electron $=9.11\times {10}^{-31}\mathrm{k}\mathrm{g}$)