What is the most probable distance of a \( 1 \mathrm{~s} \)-electron in a \( \mathrm{He}^{+} \)i...

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=Xm912NjREko


Duration: 2:23
0 views
0

What is the most probable distance of a \( 1 \mathrm{~s} \)-electron in a \( \mathrm{He}^{+} \)ion. The wave function for 1 s-orbital is given by \( \psi=\sqrt{\left(\frac{\mathrm{Z}^{3}}{\pi \mathrm{a}_{0}^{3}}\right) e^{-\mathrm{Zr/a_{0 }}}} \), where \( \mathrm{a}_{\mathrm{o}}= \) radius of first Bohrs orbit in H-atom \( =52.9 \mathrm{pm} \).
(a) \( 52.9 \mathrm{pm} \)
(b) \( 13.25 \mathrm{pm} \)
(c) \( 6.61 \mathrm{pm} \)
(d) \( 26.45 \mathrm{pm} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-19In any subshell, the maximum number of electrons having same values of spin quantum number is: (...
2023-06-19The orbital diagram in which Aufbau principle is violated, is: (a) (b) \begin{tabular}{|l|l|l|} ...
2023-06-19Total number of \( \mathrm{m} \) values for \( \mathrm{n}=4 \) is: (a) 8 (b) 16 (c) 12 (d) 20
2023-06-19A photon of \( 300 \mathrm{~nm} \) is absorbed by a gas and then emits two photons. One photon h...
2023-06-19A photon of \( 2.55 \mathrm{eV} \) is emitted out by an electronic transition in hydrogen atom. ...
2023-06-19Which of the ions is not having the configuration of \( \mathrm{Ne} \) ? (a) \( \mathrm{Cl}^{-} ...
2023-06-19How many electrons can fit into the orbitals that comprise the 3 rd quantum shell, \( \mathrm{n}...
2023-06-19An electron that has the quantum numbers \( \mathrm{n}=3 \) and \( \mathrm{m}=2 \) : (a) Must ha...
2023-06-19The magnitude of the orbital angular momentum of an electron is given by \( \mathrm{L}=\sqrt{5} ...
2023-06-19Electronic configuration of an element is \( 1 \mathrm{~s}^{2}, 2 \mathrm{~s}^{1}, 2 \mathrm{p}^...
2023-06-19What is the most probable distance of a \( 1 \mathrm{~s} \)-electron in a \( \mathrm{He}^{+} \)i...
2023-06-19An \( \alpha \)-particle is accelerated from rest through a potential difference of \( 6.0 \math...
2023-06-19The value of the spin magnetic moment of a particular ion is 2.83 Bohr magneton. The ion is: (a)...
2023-06-19A 3p-orbital has: (a) Two non-spherical nodes. (b) Two spherical nodes. (c) One spherical and on...
2023-06-19The difference in angular momentum associated with the electron in two successive orbits of hydr...
2023-06-19In an atom, two electrons move around the nucleus in circular orbits of radii \( \mathrm{R} \) a...
2023-06-19If \( \mathrm{n} \) and \( \ell \) are respectively the principal and azimuthal quantum numbers,...
2023-06-19The quantum numbers \( +1 / 2 \) and \( -1 / 2 \) for the electron spin represent : (a) Rotation...
2023-06-19A particle \( \mathrm{X} \) moving with a certain velocity has a de-Broglie wave length of \( 1 ...
2023-06-19In case of \( d_{x^{2}-y^{2}} \) orbital: (a) Probability of finding the electron along x-axis i...
2023-06-19The ratio of the de-broglie wavelength of a proton and \( \alpha \)-particles will be \( 1: 2 \)...