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11月3日

Particle Physics Clarified: the Pauli Exclusion Principle Explained

another YouTube video - ‘the Pauli Exclusion Principle Explained
    

The image below is included in the video in the appropriate place.



4月14日

A Trick of Mind Question and Solution (edited)


Growth Rates of Two Groups | Problem

There are two types of groups: the A Group and the B Group, which both grow to a height of 45 units.

The As grow at a rate of one unit in the first iteration, two units in the second iteration, three units in the third iteration, etc.

But the Bs height increases by three units in first two iterations, by six units in second two iterations, nine unites in the third two iterations, etc.

Both groups germinate (from zero) at the same time. Which group reaches the maximum height of 45 units first?


WARNING!!! SPOILER BELOW!!!


Growth Rates of Two Groups | Solution

GROUP A has a growth rate ratio of 1:1, growing at 1 unit per iteration.

ITERATION

GROWTH

SUM    

1

(+1)

 

2

(+2)

= 3

3

(+3)

= 6

4

(+4)

= 10

5

(+5)

= 15

6

(+6)

= 21

7

(+7)

= 28

8

(+8)

= 36

9

(+9)

= 45

10

(+10)

 

GROUP B has a growth rate ratio of 3:2, or 1.5:1, growing at 1.5 units per iteration.

ITERATION

GROWTH

SUM    

1

(+1.5)

 

2

(+1.5)

= 3

3

(+3)

= 6

4

(+3)

= 9

5

(+4.5)

= 13.5

6

(+4.5)

= 18

7

(+6)

= 24

8

(+6)

= 30

9

(+7.5)

= 37.50

10

(+7.5)

= 45