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Q.

If  0.53 Å is the Bohr’s radius for the 1st orbit of hydrogen atom, the correct statement (s) in the light of wave mechanical model of an atom, is/are
P)  The product of  (Rn,l)2 and  4πr2 increases till it reaches a distance of  0.53 Å.
Q)   (Rn,l)2  goes on increasing till it reaches a distance of  0.53 Å.
R)  Rn,l  goes on decreasing till it reaches a distance of  0.53Å.
S)  The nodal point for the 1s-orbital is at  (0.53×2)Å .

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a

QS 

b

QRS

c

PQRS

d

PR 

answer is B.

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Detailed Solution

RPD first increases, reaches maximum and then decreases .

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If  0.53 Å is the Bohr’s radius for the 1st orbit of hydrogen atom, the correct statement (s) in the light of wave mechanical model of an atom, is/areP)  The product of  (Rn,l)2 and  4πr2 increases till it reaches a distance of  0.53 Å.Q)   (Rn,l)2  goes on increasing till it reaches a distance of  0.53 Å.R)  Rn,l  goes on decreasing till it reaches a distance of  0.53Å.S)  The nodal point for the 1s-orbital is at  (0.53×2)Å .