B M Sharma Solutions for Chapter: Electrons, Photons, Photoelectric Effect and X-Rays, Exercise 1: DPP

An electron is moving through a field. It is moving $\left(\mathrm{i}\right)$ opposite to an electric field, $\left(\mathrm{ii}\right)$ perpendicular to a magnetic field as shown. For each situation, the de Broglie wavelength of the electron is:

The energy that should be added to an electron to reduce its de Broglie wavelength from $1 \mathrm{nm}$ to $0.5 \mathrm{nm}$ is:

A particle of mass $M$ at rest decays into two particles of masses $m_1$ and $m_2$, having non-zero velocities. The ratio of the de Broglie wavelengths of the particles, $\frac{{\lambda }_1}{{\lambda }_2}$ is

The ratio of de Broglie wavelengths of molecules of hydrogen and helium which are at temperatures of $27°\mathrm{C}$ and $127°\mathrm{C}$ respectively is:

The potential energy of a particle of mass, $m$ is given by:

$U\left(x\right)=\left\{\begin{array}{ll}{E}_0;& 0\le x\le 1\\ 0;& x>1\end{array}\right.$

${\lambda }_1$ and ${\lambda }_2$ are the de Broglie wavelengths of the particle, when $0\le x\le 1$ and $x>1$ respectively. If the total energy of particle is $2E_0$, the ratio $\frac{{\lambda }_1}{{\lambda }_2}$  will be:

A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values ${\lambda }_1$ and ${\lambda }_2$ with ${\lambda }_1>{\lambda }_2$. Which of the following statements are true?

A particle moves in a closed orbit around the origin, due to a force which is directed towards the origin. The de Broglie wavelength of the particle varies cyclically between two values ${\lambda }_1$ and ${\lambda }_2$ with ${\lambda }_1>{\lambda }_2$. Which of the following statements are true?

Two particles $A_1$ and $A_2$ of masses $m_1$ and $m_2 \left(m_1>m_2\right)$ have the same de Broglie wavelength. Then,