For a hypothetical hydrogen like atom, the potential energy of the system is given by U(r) = (-Ke^2)/(r^3) ,where r is the distance between the two particles, If Bohr.s model of quantization of angular momentum is applicable then velocity of particle is given by:

For a hypothetical hydrogen like atom, the potential energy of the sys

1.	For a hypothetical hydrogen like atom, the potential energy of the system is given by U(r) = (-Ke^2)/(r^3) ,where r is the distance between the two particles, If Bohr.s model of quantization of angular momentum is applicable then velocity of particle is given by:
Answer» `v= (n^2 h^3)/(Ke^2 8 pi^3 m^2)` `v= (n^3 h^3)/(8Ke^2 8 pi^3 m^2)` `v= (n^3 h^3)/(Ke^2 8 pi^3 m^2)` `v= (n^2 h^3)/(24Ke^2 8 pi^3 m^2)` SOLUTION :`(d[U(r)])/(DR) = (3Ke^2)/(r^4) implies ` Magnitude of the force `therefore (3Ke^2)/(r^4) = (mv^2)/(r)` and we KNOW mvr `=(nh)/(2PI) ` or `r= (nh)/(2pin.v)`, `3Ke^2 XX(8pi^3m^3 v^3)/(n^3 h^3) = mv^2 , v=(n^3 h^3)/(24ke^2 pi^3 m^2)`