Home Chemistry Structure of Atom NTA Abhiyas Question The radial wave equation for hydrogen atom i…
Chemistry Structure of Atom NTA Abhiyas Question Single Correct MCQ
Published on: August 14, 2026

The radial wave equation for hydrogen atom is

where x = , a 0 = radius of first bohr's orbit the minimum and maximum position of radial nodes from nucleus are:

A
a 0 ,3a 0
B
0.5a 0 ,3a 0
C
0.5a 0 ,a 0
D
0.5a 0 ,4a 0

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Text Solution

Verified by Experts
The correct answer is:
B

0.5a 0 ,3a 0

For node = 0 , So also = 0

So for:

[(x -1) (x 2 -8x +12)] should be equal to zero

[(x -1) (x 2 -8x +12)] = 0, solve the equation

(x-1)(x 2 -8x+12)

X = 1, 2, 6

i.e.i = 0.5 a 0 ,a 0 ,3a 0 ;

So minimum 0.5a 0

maximum 3a 0

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