Question

Problems: 1-How many nodes would you expect to find when n=3? Where would you expect the maxima to be (psi)? 2- What is the minimum n value where you could start finding (psi) with a value < 0? 3-What is the minimum n value where you could start finding (psi)^2 with a value < 0?

Answer #1

1. Radial node=n-l-1, angular node=l

so total nodes= radial+angular nodes=n-l-1+l= n-1= 3-1=2

so total nodes is 2 and we know In 3s orbital, n=3 and l=0 (bcz for s orbital l value=0)

For 3s Orbital, there are 3 regions of high probability separated by 2 nodes. first two peaks indicates the penetration of electrons and third peak is the most probable distance (maxima)for 3s electron.so maxima lies in peak of curve that is third highest peak

there is a plot of radial probability distribution function
4r^{2}R^{2}
and distance from the nucleus (r) as shown below figure:

Problem 3
Given a BST with N nodes, how many tree shapes are there with
height N-1? Explain your reasoning.
Problem 4
Given a BST with N nodes, how many tree shapes are there with
height N-2? Explain your reasoning .
Problem 5
Consider an empty 2-3 tree. Draw the tree after each of the
following operations is executed:
insert 0, insert 9, insert 2, insert 6, insert 7, insert 3,
insert 8, delete 2, delete 6

1. a) Suppose that a binary tree of height h has n nodes. Show
that h ≥ log2 (n+2) - 1.
b) Using the formula in part (a) find the minimum height if a
binary tree with 1000 nodes.
c) What is the maximum possible height of a binary tree with
1000 nodes?

How many unpaired electrons would
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How many unpaired electrons would you expect on iron in iron
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How many unpaired electrons would you expect on vanadium in
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How many unpaired electrons would you expect on iron in
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Where would you expect to find polar amino acids in a protein in
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1.
A program P takes time proportional to logn where n is the input
size. If the program takes 1 minute to process input of size
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100?
2.
When the best possible algorithm to solve a problem is
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___________________.
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How many unpaired electrons would you expect for the following
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a) [Ru(en)3]2+
b) [MnF6]4−

I would like to add n bits all together, how many XOR, AND and
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If you were to roll 3 die, how many even numbers should you
expect to show up? Perform this experiment 16 times where you roll
3 die and record the number of evens that show up in each
trial.
Then answer the following questions:
1) How does this game satisfy a binomial distribution?
2) Determine the probability of each outcome based on the
results of your experiment and then determine what the actual
probability should be using the binomial probability...

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