1.

suppose an electron is attracted towards the origin by a force k//r, where k is a constant and r is the distance of the electron form the origin. By applying bohr model to this system, the radius of n^(th) orbit of the electron is found to be r_n and

Answer»

E
2E
3E
4E

Solution :Since bohr's formula for energy in `n^th` ORBIT is `E_n=-(me^4Z^2)/(8epsilon_0^2n^2h^2)=rArrE_npropZ^2`
Now for hydrogen `(._1H^2)Z_H=1`, and `E_H=E` and for helium `(._2He^4)`,`Z_(He)=2`.
`thereforeE_(H)/(E_(He))=(Z_H)^2/((Z_(He))^2)RARR((Z_He)/(Z_H))^2E_(H)=(2)^2E=4E`.


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