Highly excited states for hydrogen like atom (alos called Ryburg states) with nucleus Charge Ze are defined by their principal qunatum number n, where

Question

Highly excited states for hydrogen like atom (alos called Ryburg states) with nucleus Charge Ze are defined by their principal qunatum number n, where

Highly excited states for hydrogen like atom (alos called Ryburg states) with nucleus Charge Ze are defined by their principal qunatum number n, where `n lt lt 1`. Which of the following statement(s) is (are) true?
A. Releative change in the radii of two consecutive orbitals does not depend on `Z`
B. Relative change in the radii of two consecutive orbitals varies as `1//n`
C. Relative change in the energy of two consecutive orbitals varies as `1//n^(2)`
D. Relative change in the angular momenta of two consecutive orbitals varies as `1//n`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

In a mixture of `H-He^(+)` gas (`He^(+)` is singly ionized `He` atom), `H` atoms and `He^(+)` ions are excited to their respective first excited state

2 Answers 5 Views

An electron of a hydrogen like atom is in excited, state. If total energy of the electron is -4.6 eV, then evaluate (i) the kinetic energy and (ii) th

2 Answers 5 Views

Electrons are revolving around the nucleus in `n_(1^(th))` orbit of an atom, have atomic number `Z_1`, and in the `n_2` orbit of other atom, have atom

2 Answers 4 Views

When a hydrogen atom is excited from ground state to first excited state then

2 Answers 6 Views

An electron collides with a dfixed hydrogen atom in its ground stat. Hydrogen atom gets excited and the collding electron loses all its kinetic energy

2 Answers 4 Views

An electron in hydrogen atom first jumps from second excited state to first excited state and then from first excited state to ground state. Let the r

2 Answers 4 Views

In a hydrogen atom, the electron is in `n^(th)` excited state. It may come down to second excited state by emitting ten different wavelengths. What is

2 Answers 5 Views

The electron in a hydrogen atom makes a transition `n_(1) rarr n_(2)` where `n_(1)` and `n_(2)` are the principal qunatum numbers of the two states. A

2 Answers 4 Views

An electron collides with a fixed hydrogen atom in its ground state. Hydrogen atom gets excited and the colliding electron loses all its kinetic energ

2 Answers 5 Views

Calculate the energy required to excited one litre of hydrogen gas at `1` atm and `298 K` to the excited state of atomic hydrogen. The energy for the

2 Answers 9 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - A::B::D
As radius `r prop n^(2)/z`
`implies (Deltar)/r=(((n+1)/z)^(2)-(n/z)^(2))/((n/z)^(2))=(2n+1)/n^(2) ~~2/n prop 1/n`
as energy `E prop z^(2)/n^(2)`
`implies (DeltaE)/E=(z^(2 )/n^(2)-z^(2)/((n+1)^(2)))/(z^(2)/((n+1)^(2)))=((n+1)^(2)-n^(2))/(n^(2).(n+1)^(2)).(n+1)^(2)`
`implies (DeltaE)/E=(2n+1)/n^(2) cong (2n)/n^(2) prop 1/n`
as angular momentum `L=(nh)/(2pi)`
`implies (DeltaL)/(L)=(((n+1)h)/(2pi)-(nh)/(2pi))/((nh)/(2pi))=1/n prop 1/n`