Which of the following relation is incor...

Which of the following relation is incorrect regarding Bohr's theory ?

Velocity of electron `prop 1/n`

Frequency of revolution `prop1/n^(2)`

Radius of orbit `prop n^(2)//Z`

Force on electron `prop 1/n^(4)`

Text Solution

Verified by Experts

The correct Answer is:

Radius of orbit is directly proportional to ratio of square of principal quantum number and atomic number
i.e. Radius of orbit `alpha n^(2)/Z`
For H-atom `r_(n)=(n^(2)xx0.529xx10^(-8))/Z` cm

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Which of the following relations is incorrect?

`(A')'=A`

`(kA')=kA'`

`(AB…I)=A'B'…I'`

`(A+B+…+I)=(A'+B'+…+I')`

Which of the following options is incorrect regarding Bohr's Model of an atom

Ionisation energy (I.E.) order : `I.E_(H) lt I.E_(He^(+))+I.E._(Li^(-2))`

Angular momentum (AM) order of electron in `n^(th)` shell : `AM_("2 nd shell") lt AM_("4 th shell") lt AM_("6 th shell")`

If PE at the infinity is assigned as 13.6 eV then ratio of magnitude of KE to that of PE of Ist Bohr orbit in hydrogen will be in the ratio 1:2

Order of speed (V) of electron in `n^(th)` shell of hydrogen `V_("2 nd shell") gt V_("5 th shell") gt V_("6 th shell")`

Which of the following options is incorrect regarding Bohr's Model of an atom ?

Ionisation energy (I.E.) order : `I.E._(H) lt I.E._(He^(+)) lt I.E._(Li^(+2))`

Angular momentum (AM) order of electron in `n^(th)` shell : `AM_(2nd "shell") lt AM_(4th "shell") lt AM_(6th "shell")`

If PE at the infinity is assigned as 13.6 eV then ratio of magnitude of KE to that of PE of Ist Bohr orbit in hydrogen will be in the ratio `1:2`.

Order of speed (v) of electron in nth shell of hydrogen : `V_(2nd "shell") gt V_(5th "shell") gt V_(6th "shell")`