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CHEMISTRY For 3s orbital of hydrogen atom, the normalised wave function is given by y3s = {1/[81(3 pie)^1/2} * (1/a)^3/2 * [27 - (18r)/a + (r)^2/(a)^2] * e^r/3a The above mentioned orbital (3s) has two nodes at 1.9a0 and xa0. What is the approximate value of x? (a) 9 (b) 7 (c) 6 (d) 2

CHEMISTRY
For 3s orbital of hydrogen atom, the normalised wave function is given by

y3s = {1/[81(3 pie)^1/2} * (1/a)^3/2 * [27 - (18r)/a + (r)^2/(a)^2] * e^r/3a

The above mentioned orbital (3s) has two nodes at 1.9a0 and xa0. What is the approximate value of
x?
(a) 9 (b) 7
(c) 6 (d) 2

Grade:11

2 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

To get the value of x, put the normalised wave function to be zero. This is just a hint, u can solve the equation on ur own..

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Sagar Singh

B.Tech, IIT Delhi

sagarsingh24.iitd@gmail.com

Pankaj Rajpal
13 Points
3 years ago
A node is where it goes to zero; BTW it must be e^(MINUS r/3ao) otherwise it blows up 


in this case ignore everything but [ 27- 18r/a0 + 2r^2/a0^2] 
By solving this quadratic equation we get the two answer from which we can find the values of nodes 


1.90 

7.10 

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