1.

According to Bohr.s theory, E_n = total energy, K_n = kinetic energy, V_n = potential energy, r_n =radius of n^(th) orbit. Match the following.

Answer»


Solution :According to Bohr.s THEORY , kinetic energy
`(K_n) = (Ze^2)/(2r)`
Potential energy`(V_n) = - (Ze^2)/(r)`,
Total energy `(E_n) =-(Ze^2)/(2r)`
A) `(V_n)/(K_n) = (-Ze^2//r)/(Ze//2r) = - 2`
B) `r_n prop n^2 and E_n prop 1/(n^2) ` , i.e. , `E_n prop 1/(r_n)`
C) Angular momentum`=sqrt(l(l+1)) (h)/(2pi)`
The lowest orbital is 1s for which l=0
Hence angular momentum =0
D)` r_n prop 1/Z ` or `1/(r_n)prop Z therefore y = 1`


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