Home
Class 12
PHYSICS
The electirc potential between a proton ...

The electirc potential between a proton and an electron is given by `V = V_0 ln (r /r_0)` , where r_0 is a constant. Assuming Bhor model to be applicable, write variation of `r_n` with n, being the principal quantum number. (a) `r_n prop n` (b) `r_n prop (1)/(n)` (c ) `r_n^2` (d)`r_n prop (1)/(n^2)`

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the given electric potential and its implications in the context of the Bohr model of the hydrogen atom. The electric potential \( V \) between a proton and an electron is given by: \[ V = V_0 \ln \left( \frac{r}{r_0} \right) \] where \( r_0 \) is a constant. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MODERN PHYSICS - 1

    DC PANDEY ENGLISH|Exercise Example Type 3|4 Videos

  • MODERN PHYSICS - 1

    DC PANDEY ENGLISH|Exercise Example Type 4|3 Videos

  • MODERN PHYSICS - 1

    DC PANDEY ENGLISH|Exercise Example Type 1|2 Videos

  • MODERN PHYSICS

    DC PANDEY ENGLISH|Exercise Integer Type Questions|17 Videos

  • MODERN PHYSICS - 2

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|10 Videos

Similar Questions

Explore conceptually related problems

The potential of an atom is given by V=V_(0)log_(e)(r//r_(0)) where r_(0) is a constant and r is the radius of the orbit Assumming Bohr's model to be applicable, which variation of r_(n) with n is possible (n being proncipal quantum number)?

The potential of an atom is given by V=V_(0)log_(e)(r//r_(0)) where r_(0) is a constant and r is the radius of the orbit Assumming Bohr's model to be applicable, which variation of r_(n) with n is possible (n being proncipal quantum number)?

Prove that sum_(r = 0)^n r^2 . C_r = n (n +1).2^(n-2)

If n is an even natural number , then sum_(r=0)^(n) (( -1)^(r))/(""^(n)C_(r)) equals

Find sum of sum_(r=1)^n r . C (2n,r) (a) n*2^(2n-1) (b) 2^(2n-1) (c) 2^(n-1)+1 (d) None of these

If ""^(n)C _r denotes the numbers of combinations of n things taken r at a time, then the expression ""^(n) C_(r+1) +""^(n)C_(r-1) +2 xx ""^(n)C_r equals

Which of the following expressions represents the spectrum of Balmer series (If n is the principal quantum number of higher energy level) in Hydrogen atom ? (a) overset-v=(R(n-1)(n+1))/n^(2) (b) overset-v=(R(n-2)(n+2))/(4n^(2)) (c) overset-v=(R(n-2)(n+2))/(n^(2)) (d) overset-v=(R(n-1)(n+1))/(4n^(2))

Prove that sum_(r=0)^n r(n-r)(^nC_ r)^2=n^2(^(2n-2)C_n)dot

Prove that sum_(r = 0)^n r^3 . C_r = n^2 (n +3).2^(n-3)

sum_(r=0)^n (-1)^r .^nC_r (1+rln10)/(1+ln10^n)^r

Home
Profile