Which of the following is correct regarding Bohr's theory for hydrogen like atoms in `n^(th)` orbit
Time period : `T_(n)=(2pir_(n))/(v_(n))`
`K_(n)=-E_(n) : U_(n)=2E_(n)`
`r_(n) prop (n^(2))/(Z) , v_(n) prop (Z)/(n) , T_(n) prop (n^(3))/(Z^(2)) , E_(n) prop (Z^(2))/(n^(2))`
Angular momentum is independent of Z

For which of the following species, the expression for the energy of electron in n^(th) orbit [E_(n) = -(13.6)/(n^(2)) xx Z^(2) e "V atom"^(-1)] has the validity ?

Consider the following statements for an electron moving in nth orbit of hydrogen like species of atomic number Z? I. Kinetic energy prop (Z^(2))/(n^(2)) II. Frequency of revolution prop (Z^(2))/(n^(3)) III. Coulombic force of attraction prop (Z^(3))/(n^(4)) IV. Momentum prop (Z)/(n) The correct choice is :

Consider the following statements for an electron moving in nth orbit of hydrogen like species of atomic number Z? I. Kinetic energy prop (Z^(2))/(n^(2)) II. Frequency of revolution prop (Z^(2))/(n^(3)) III. Coulombic force of attraction prop (Z^(3))/(n^(4)) IV. Momentum prop (Z)/(n) The correct choice is :

Calculate the ratio of radius of 2n and 3rd orbit of hydrogen atom (Note r_(n) prop n^(2))

|z|=1&z^(2n)+1!=0 then (z^(n))/(z^(2n)+1)-(z^(n))/(z^(2n)+1) is equal to

Time period of revolution of an electron in n^(th) orbit in a hydrogen like atom is given by T = (T_(0)n_(a))/ (Z^(b)) , Z = atomic number

Time period of revolution of an electron in n^(th) orbit in a hydrogen like atom is given by T = (T_(0)n_(a))/ (Z^(b)) , Z = atomic number

Given in hydrogen atom r_(n),V_(n),E,K_(n) stand for radius, potential energy, total energy and kinetic energy in n^(th) orbit. Find the value of U,v,x,y. {:((A),u=(V_(n))/(K_(n)),(P),1,),((B),(1)/(r_(n))propE^(x),(Q),-2,),((C),r_(n)propZ^(y),(R),-1,),(,(Z="Atomic number"),,,),((D),v=("Orbital angular momentum of electron"),(S),0,),(,("in its lowest energy"),,,):}

Calculate the energy associated with the first orbit of He^(+) .What is the radius of this orbit ? Hint : E_(n) = - 2.18 xx10^(-18) ((Z^(2))/( n^(2))) J // atom He^(+) ( Z=2) r_(n) = ( 52.9(n^(2)))/(Z) pm