Formula CIE

Question 1

Angle in radians

Answer 1

Length of arc / radius

Question 2

Angular velocity (ω)

Answer 2

ω=2πf

Question 3

Velocity

Answer 3

v=ωr

Or

v= 2πr/t

Question 4

Centripetal acceleration

Answer 4

a= ω^2r

a= v^2/r

Question 5

Centripetal force

Answer 5

F=mv^2/r

F=mrω^2

Question 6

Newtons law of gravitation

Answer 6

F= GMm/r^2

Question 7

Gravitational field strength (gfs)

Answer 7

GFS= GM/r^2

Question 8

Gravitational potential

Φ

Answer 8

φ= -GM/r

Question 9

Gravitational potential energy (GPE)

Answer 9

GPE= -GMm/r

Question 10

Orbital speed

Answer 10

v^2 =Gm/r

Question 11

Orbital period

Answer 11

T^2= (4π^2/GM)r^3

Question 12

Period

Answer 12

T= 1/f

Question 13

Frequency

Answer 13

f= 1/T

Question 14

s.h.m

Answer 14

x= x•sinωt

Question 15

Acceleration (oscillations)

Answer 15

a= -ω^2x

Question 16

Velocity (oscillations)

Answer 16

v= ω(x•^2-x^2)^0.5

Question 17

Maximum velocity (oscillations)

Answer 17

v=ωx•

Question 18

Attenuation

Answer 18

Number of dB = 10log(P1/P2)

Question 19

Signal to noise ratio

Answer 19

10log(signal power/noise power)

Question 20

Internal energy

Answer 20

ΔU = q + wd

Question 21

Specific heat capacity

Answer 21

E= mcΔθ

Δθ= Change in temperature

m = mass

c= specific heat capacity

Question 22

Specific latent heat

Answer 22

E= mL

L= specific latent heat

Question 23

Boyle’s law

Answer 23

pV= constant

Question 24

Ideal gas equation

Answer 24

pV= nRT

Question 25

of moles

Answer 25

n= mass (in grams)/ nucleon #

Question 26

Number of molecules

Answer 26

N= n * Na ``` n = #of moles Na = avagadro constant ```

Question 27

Pressure

Answer 27

p= 1/3 * Nm^2/V N= # of molecules

Question 28

KE of particle in an ideal gas

Answer 28

KE = 1/2 * m^2

Question 29

Coulomb's law

Answer 29

F= Q1*Q2/4πε•r^2

Question 30

Electric potential

Answer 30

V= Q/4πε•r

Question 31

Electric Field strength

Answer 31

EFS= V/d | =F/Q

Question 32

Capacitance

Answer 32

C=Q/V

Question 33

Work done charging a capacitor

Answer 33

Wd= 1/2*QV = 1/2*CV^2 =1/2*Q^2/C

Question 34

Capacitance of isolated bodies

Answer 34

C= 4πε•r

Question 35

Inverting / non-inverting amplifier

Answer 35

Gain= Vout/Vin

Question 36

Magnetic flux density

Answer 36

B= F/IL

Question 37

Magnetic force on a particle moving 90 degrees to magnetic field

Answer 37

F= Bev

Question 38

Electron travelling in a magnetic field

Answer 38

mv^2/r= Bev

Question 39

Hall voltage

Answer 39

V=BI/ntq

Question 40

Charge to mass ratio

Answer 40

e/m =2Vca/r^2B^2

Question 41

KE of electrons leaving the anode in a deflection tube

Answer 41

1/2mv^2 = eVa

Question 42

Magnetic flux

Answer 42

φ=ΒA A=area B=magnetic flux density

Question 43

Faradays law

Answer 43

E= Δ(Nφ)/Δt

Question 44

Magnetic flux linkage

Answer 44

Nφ=NBAcosθ | Ν=number of turns

Question 45

Sinusoidal alternating current

Answer 45

I =I•sinωt | t=time

Question 46

Sinusoidal alternating emf

Answer 46

V= V•sinωt

Question 47

Rms

Answer 47

Irms =I•/2^0.5

Question 48

Transformers

Answer 48

Vs/Vp= Ns/Np

Question 49

Energy of a photon

Answer 49

E=hf | = hc/λ

Question 50

KE of charge through a voltage

Answer 50

eV=1/2mv^2

Question 51

Einsteins photoelectric equation

Answer 51

hf = Φ + KE | Φ=work constant

Question 52

Dw Broigle wavelength

Answer 52

λ= h/mv

Question 53

Energy-mass equation

Answer 53

E=mc^2

Question 54

Activity of radioactive sample

Answer 54

A= ΔN/Δt

Question 55

Exponential decrease of a quantity

Answer 55

X=X• e^(-λt)

Question 56

Half life

Answer 56

t1/2=ln2/λ

Question 57

Max X-ray frequency

Answer 57

f= eV/h

Question 58

Attenuation of X-ray

Answer 58

I= I•e^(-μx)

Question 59

Half thickness

Answer 59

X1/2= ln2/μ

Question 60

Acoustic impedance of a material

Answer 60

Z=ρc

Question 61

Fraction of intensity of unltrasound wave reflected at boundary

Answer 61

It/Io= (Z2-Z1)^2/(Z2+Z1)^2

Question 62

Thickness of material

Answer 62

Thickness = cΔt/2

Question 63

Lamour frequency

Answer 63

ω• = γB•

Question 64

Frequency of processing nuclei

Answer 64

f•=λB•/2π