Equations

Question 1

Relation between intensity and temperature.

Answer 1

I = σT^4

Question 2

Wien’s Displacement Law

Answer 2

λmaxT = const

Question 3

Quantisation of energy

Answer 3

En = nhf

Question 4

Average energy of black body radiation according to Planck

Answer 4

= hf/(exp(hf/kbT) -1)

Question 5

Intensity of black body radiation

Answer 5

I(λ) = ((2π(c^2)h)/λ^5)*(1/e^(hc/λkbT) - 1)

Question 6

Equation for Compton Scattering

Answer 6

Δλ = λc(1-cos(Θ))

Question 7

Rydberg formula for hydrogen wavelengths

Answer 7

1/λ = R(1/m^2 - 1/n^2)

Question 8

Moementum of a wave

Answer 8

p = h/λ = ħk

Question 9

Quantized angular momentum

Answer 9

L = nħ

Question 10

Energy levels of an electron in a hydrogen atom as a function of n

Answer 10

En = -13.6eV/n^2

Question 11

Schrodinger’s time dependent equation

Answer 11

(-ħ^2/2m)*(second partial derivative of psi with respect to x) = iħ(first partial derivative of psi with respect to t)

Question 12

Quantised radius

Answer 12

rn = n^2a0

Question 13

Wave packet equation

Answer 13

https://imgur.com/cPg9d8G

Question 14

Property of wave packets

Answer 14

Width in k is w whilst that in s is approximately 1/w

Question 15

Wave function for a free particle

Answer 15

y=Aexp(ikx - iωt)

Question 16

Normalisation condition

Answer 16

https://imgur.com/jNh6OPy

Question 17

Time independent 1 dimensional Schrodinger’s equation with potential

Answer 17

https://imgur.com/dTTD1Mg

Question 18

General 1 dimensional Schrodinger’s equation

Answer 18

https://imgur.com/ZBqoJAU

Question 19

Quantisation of energy a free particle and a particle in a box

Answer 19

https://imgur.com/tR6bHdL

Question 20

What tunnelling probablity is proportional to

Answer 20

https://imgur.com/9PTGn9y

Question 21

Uncertainty Principle

Answer 21

ΔxΔp >= ħ/2