Quantum Numbers, X-rays & Other Questions

The energy E and momentum p of a moving body of mass m are related by some equation. Given that c represents the speed of light, identify the correct equation

The waves emitted when a metal target is bombarded with high energy electrons are

The graph which shows the variation of the de Broglie wavelength ($\lambda$) of a particle and its associated momentum (p) is

The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is 2.4 $\times$ 1039. The ratio of the proportionality constant, $K = \frac{1}{4\pi\varepsilon_0}$ to the gravitational constant G is nearly (Given that the charge of the proton and electron each = 1.6 $\times$ 10$-$19 C, the mass of the electron = 9.11 $\times$ 10$-$31 kg, the mass of the proton = 1.67 $\times$ 10$-$27 kg):

The K$\alpha$ X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atom with a K electron knocked out is 27.5 keV, the energy of this atom when an L electron is knocked out will be __________ keV. (Round off to the nearest integer)

[h = 4.14 $\times$ 10$-$15 eVs, c = 3 $\times$ 108 ms${}^{-1}$]

The P.E. 'U' of a moving particle of mass 'm' varies with 'x'-axis as shown in figure. The deBroglie wavelength or the particle in the regions $0 \le x \le 1$ and $x > 1$ are $\lambda_1$ and $\lambda_2$ respectively. II the total energy of the particle is '$nE$', then the ratio $\lambda_1/\lambda_2$ is

Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and helium ions is close to:

In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential $V$ and then made to describe semicircular paths of radius R using a magnetic field B. If V and B are kept constant, the ratio $\left(\frac{\text{charge on the ion}}{\text{mass of the ion}}\right)$ will be proportional to

The interplanar distance in a crystal is 2.8 $\times$ 10$-$8 m. The value of maximum wavelength which can be diffracted

The figure represents the observed intensity of X-rays emitted by an X-ray tube, as a function of wavelength. The sharp peaks $A$ and $B$ denote

Of the following pairs of species which one will have the same electronic configuration for both members?

The valence electron in alkali metal is a

The atomic number of silicon is 14. Its ground state electron configuration is