de Broglie and Heisenberg

Identify the correct statements from the following :

A. Heisenberg uncertainty principle is applicable to electrons.

B. The size of $2p_x$ orbital is less than the size of $3p_x$ orbital.

C. The energy of 2s orbital of H atom is equal to the energy of 2s orbital of Li.

D. The electronic configuration of Cr is $[\mathrm{Ar}]\,3d^54s^1$

Choose the correct answer from the options given below:

Among the following, the correct statement(s) for electrons in an atom is(are)

If the uncertainty in velocity and position of a minute particle in space are, $2.4\times10^{-26}$ (m s$^{-1}$) and $10^{-7}$ (m) respectively. The mass of the particle in g is ______. (Nearest integer)

(Given : $h=6.626\times10^{-34}$ Js)

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $x$ times the velocity of neutron. The value of $x$ is ______. (Nearest Integer)

(Mass of electron is $9.1\times10^{-31}$ kg and mass of neutron is $1.6\times10^{-27}$ kg)

If the wavelength for an electron emitted from H-atom is $3.3\times10^{-10}$ m, then energy absorbed by the electron in its ground state compared to minimum energy required for its escape from the atom, is ______ times. (Nearest integer)

[Given : h = $6.626\times10^{-34}$ J s]

Mass of electron = $9.1\times10^{-31}$ kg

The minimum uncertainty in the speed of an electron in an one dimensional region of length 2a$_0$ (Where a$_0$ = Bohr radius 52.9 pm) is _______ km s$^{-1}$.

(Given : Mass of electron = $9.1\times10^{-31}$ kg, Planck's constant h = $6.63\times10^{-34}$ Js)

When the kinetic energy of an electron is increased nine times, the wavelength of the de-Broglie wave associated with it would become :

Consider a helium (He) atom that absorbs a photon of wavelength 330 nm. The change in the velocity (in cm s$^{-1}$) of He atom after the photon absorption is ____.

(Assume: Momentum is conserved when photon is absorbed.

Use: Planck constant $= 6.6 \times 10^{-34}$ J s, Avogadro number $= 6 \times 10^{23}$ mol$^{-1}$, Molar mass of He $= 4$ g mol$^{-1}$)

A proton and a Li$^{3+}$ nucleus are accelerated by the same potential. If λ$_{Li}$ and λ$_p$ denote the de Broglie wavelengths of Li$^{3+}$ and proton respectively, then the value of $\dfrac{\lambda_{Li}}{\lambda_p}$ is $x\times10^{-1}$. The value of $x$ is _______. (Rounded off to the nearest integer)

[Mass of Li$^{3+}$ = 8.3 mass of proton]

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h/λ (where λ is wavelength associated with electron wave) is given by :

At temperature T, the average kinetic energy of any particle is $\dfrac32kT$. The de Broglie wavelength follows the order :

The de-Broglie wavelength of a particle of mass 6.63 g moving with a velocity of 100 ms$^{-1}$ is :

The atomic masses of He and Ne are 4 and 20 a.m.u., respectively. The value of the de Broglie wavelength of He gas at −73 °C is "$M$" times that of the de Broglie wavelength of Ne at 727 °C. $M$ is