Population

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Nick Walker

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Ready to use

6 years, 1 month ago

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Nick Walker 5 years, 11 months ago

Published this.

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Nick Walker 6 years, 1 month ago

Gave some feedback: Ready to use

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Nick Walker 6 years, 1 month ago

Created this.

Name	Status	Author	Last Modified
Population	Ready to use	Nick Walker	18/03/2024 11:41
Population 2	Ready to use	Nick Walker	19/03/2024 14:50

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

temp	integer	337
randomiser	rational	58/25
Energy_mantissa	decimal	dec("4.70")
Energy_log	integer	-22
int_step2	integer	12
int_step	decimal	dec("0.709")
Freq_log	decimal	dec("11")
Freq_mantissa	decimal	dec("7.09")
A1	decimal	dec("-0.0101")
B1	number	10
D	decimal	dec("0.904")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(5..400)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

337

→ Used by:

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Calculate the relative populations of an upper quantum state and a lower quantum state, (expressed as the ratio, ( $N_u/N_l$ )), given a temperature, T, of {temp} K and an energy difference between the states, ${\Delta}E$ , of {Energy_mantissa} $\times$ 10^{Energy_log}J;

$N_u/N_l$ = Unnamed gap

Advice

a) This question requires use of the equation that relates the relative populations of states to the temperature and the energy difference between them;

$\frac{N_u}{N_l}=e^{\frac{-{\Delta}E}{kT}}$

$\frac{N_u}{N_l}=e^{\frac{-{\var{Energy_mantissa}\times10^\var{Energy_log}}}{1.38~\times~10^{-23}~\times~\var{temp}}}=\var{D}$

b) To convert the energy of a photon into a frequency;

$E=h\nu~$

$\frac{E}{h}=\nu=\frac{\var{Energy_mantissa}~\times~10^\var{Energy_log}~\rm J}{6.626~\times10^{-34}~\rm~J~s}=\var{Freq_mantissa}\times10^{\var{Freq_log}}~{\rm Hz}$

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Nick Walker 5 years, 11 months ago

Nick Walker 6 years, 1 month ago

Nick Walker 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Population

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Nick Walker 5 years, 11 months ago

Nick Walker 6 years, 1 month ago

Nick Walker 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`