OCR A
A Level
Data and Formulae v1.0
a2 = b2 + c2
SOH CAH TOA
Asphere = 4 π r2
Vsphere = 4 3 π r3
v = u + at
s = ½(u + v)t
s = ut + ½at2
v2 = u2 + 2as
F = Δp / Δt
p = mv
M = Fx
T = Fd
ρ =m/V
p =F/A
p = hρg
W = Fx cosθ
useful energy output x 100%
efficiency = ______________________
total energy input
P =W/t
P = Fv
F = kx
E = ½Fx
σ =F/A
ε =x/L
E =σ/ε
g = 9.81 m s-2
e = 1.60 x 10-19 C
c = 3.00 x 108 m s-1
h = 6.63 x 10-34 J s
E = ½kx2
ΔQ = I Δt
I = Anev
W = VQ
W = εQ
W = VIt
R = ρl / A
R = R1 + R2 + …
1 = __
1 + __
1 +…
__
R
R1 R2
(series)
g =F/m
g = -GM / r2
F = -GMm / r2
Vg = - GM / r
4π2
T2 = (____)r3
GM
energy = -GMm / r
hf = ΔE
hc / λ = ΔE
λmax ∝ 1 / T
d sinθ = nλ
L = 4πr2σT4
Δλ / λ ≈ Δf / f ≈ v / c
C = C1 + C2 + …
(parallel)
τ = RC
v = fλ
f =1/T
I =P/A
λ = ax / D
n =c/v
n sinθ = constant
t = H0-1
x = x0 e-t/RC
x = x0(1 – e-t/RC)
F = Qq / 4πε0
E =V/d
sinC = 1 / n
E = hf
E = hc / λ
hf = φ + KE(max)
λ =h/p
E = mcΔθ
1 year = 3.16 x 107 s
pV = NkT
1 ly ≈ 9.5 x 1015 m
pV = nRT
__
pV = 1 3 Nmc2
r2
E =F/Q
E = Q / 4πε0 r2
V = Q / 4πε0 r
energy = Qq / 4πε0 r
F = BIl sinθ
F = BQv
φ = BA cosθ
ε = -Δ(Nφ) / Δt
ns / np = Vs / Vp = Ip / Is
R = r0A⅓
A = λN
A = A0e-λt
ΔN / Δt = - λN
E = mL
N = N0e-λt
λt½ = ln2
E = 3 2 kT
__±
2 = 3 kT
1
2
2 mc
I = I0e-μx
Δf / f = 2v cosθ / c
Z = ρc
Ir / I0 = (Z2 – Z1)2 / (Z2 + Z1)2
1 eV = 1.60 x 10-19 J
1 pc ≈ 3.1 x 1016 m
A2 – x2
W = ½QV = ½Q2 /C = ½V2C
uquark (Q) +2/3 e
1 day = 8.64 x 104 s
v = ±ω
x = A sinωt
±
1 = __
1 + __
1 +…
__
C C1 C2
σ = 5.67 x 10-8 W m-2 K-4
1 u = 1.661 x 10-27 kg
x = A cosωt
C = 4πε0R
ε0 = 8.85 x 10-12 F m-1
squark (Q) -1/3 e
a = -ω2x
V1 = ____
R1
____
V2
R2
R2 x V
Vout = ______
in
R1 + R2
dquark (Q) -1/3 e
F = mv2 / r = mω2r
C = ε0A / d
k = 1.38 x 10-23 J K-1
mα = 6.646 x 10-27 kg
a = v2 / r = ω2r
C =Q/V
ε = I(R + r)
mn = 1.675 x 10-27 kg
v = ωr
ε = V + Ir
R = 8.31J mol-1 K-1
mp = 1.673 x 10-27 kg
ω = 2πf
v = H0d
P = VI = I2R = V2 / R
me = 9.11 x 10-31 kg
ω = 2π / T
p =1/d
NA = 6.02 x 1023 mol-1
G = 6.67 x 10-11 N m2 kg-2
Jun 2021
www.alevelphysicsonline.com/ocr-spec-a
ΔE = Δmc2