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*7354486589* Physics A © OCR 2017 DC (RW) 144757/2 Oxford Cambridge and RSA The information in this booklet is for the use of candidates following the Advanced Subsidiary in Physics A (H156) or the Advanced GCE in Physics A (H556) course. The data, formulae and relationships in this datasheet will be printed for distribution with the examination papers. Copies of this booklet may be used for teaching. This document consists of 8 pages. Advanced Subsidiary GCE (H156) Advanced GCE (H556) Physics A Data, Formulae and Relationships Booklet Instructions to Exams Officer/Invigilator Do not send this Data Sheet for marking; it should be retained in the centre or destroyed. CST992 Physics A

AS GCE (H156) A GCE (H556) Physics A Data … · 3 © OCR 2017 Physics A Turn© OCR 201 over 3 5 A Level in Physics A Conversion factors unified atomic mass unit 1 u = 1.661 ×10-27

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Page 1: AS GCE (H156) A GCE (H556) Physics A Data … · 3 © OCR 2017 Physics A Turn© OCR 201 over 3 5 A Level in Physics A Conversion factors unified atomic mass unit 1 u = 1.661 ×10-27

*7354486589*

Physics A© OCR 2017DC (RW) 144757/2

Oxford Cambridge and RSA

The information in this booklet is for the use of candidates following the Advanced Subsidiary in Physics A (H156) or the Advanced GCE in Physics A (H556) course.The data, formulae and relationships in this datasheet will be printed for distribution with the examination papers.Copies of this booklet may be used for teaching.This document consists of 8 pages.

Advanced Subsidiary GCE (H156)Advanced GCE (H556)

Physics A

Data, Formulae and Relationships Booklet

Instructions to Exams Officer/Invigilator• Do not send this Data Sheet for marking; it should be retained in the centre or

destroyed.

CST992

Physics A

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Physics A© OCR 2017

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© OCR 2015 A Level in Physics A

Data, Formulae and Relationships

Data

Values are given to three significant figures, except where more – or fewer – are useful.

Physical constants

acceleration of free fall g 9.81 m s–2

elementary charge e 1.60 × 10–19 C

speed of light in a vacuum c 3.00 × 108 m s–1

Planck constant h 6.63 × 10–34 J s

Avogadro constant NA 6.02 × 1023 mol–1

molar gas constant R 8.31 J mol–1 K–1

Boltzmann constant k 1.38 × 10–23 J K–1

gravitational constant G 6.67 × 10–11 N m2 kg–2

permittivity of free space ε0 8.85 × 10–12 C2 N–1 m–2 (F m–1)

electron rest mass me 9.11 × 10–31 kg

proton rest mass mp 1.673 × 10–27 kg

neutron rest mass mn 1.675 × 10–27 kg

alpha particle rest mass mα 6.646 × 10–27 kg

Stefan constant σ 5.67 × 10–8 W m–2 K–4

Quarks

up quark charge = e32+

down quark charge = e31−

strange quark charge = e31−

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Physics A Turn over© OCR 2017

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© OCR 2015 A Level in Physics A

Conversion factors

unified atomic mass unit 1 u = 1.661 × 10-27 kg

electronvolt 1 eV = 1.60 × 10-19 J

day 1 day = 8.64 × 104 s

year 1 year ≈ 3.16 × 107 s

light year 1 light year ≈ 9.5 × 1015 m

parsec 1 parsec ≈ 3.1 × 1016 m

Mathematical equations

arc length = rθ

circumference of circle = 2πr

area of circle = πr2

curved surface area of cylinder = 2πrh

surface area of sphere = 4πr2

area of trapezium = ( )hba +21

volume of cylinder = πr2h

volume of sphere = 34 πr3

Pythagoras’ theorem: 222 cba +=

cosine rule: Abccba cos2222 −+=

sine rule: C

cB

bA

asinsinsin

==

sin θ ≈ tan θ ≈ θ and cos θ ≈ 1 for small angles

log(AB) = log(A) + log(B) (Note: lg = log10 and ln = loge)

log

BA

= log(A) – log(B)

log(xn) = n log(x)

ln(ekx) = kx

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© OCR 2015 A Level in Physics A

Formulae and relationships

Module 2 – Foundations of physics

vectors Fx = F cos θ

Fy = F sin θ

Module 3 – Forces and motion

uniformly accelerated motion v = u + at

tvus )(21

+=

2

21 atuts +=

v2 = u2 + 2asforce

tpF∆∆

=

p = mvturning effects moment = Fx

torque = Fd

density Vmρ =

pressureAFp =

p = hρgwork, energy and power W = Fx cos θ

100%inputenergy totaloutputenergy useful efficiency ×=

tWP =

P = Fvsprings and materials F = kx

FxE 21= ; 2

21 kxE =

σAF

=

εLx

=

εσE =

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© OCR 2015 A Level in Physics A

Module 4 – Electrons, waves and photons

charge tIQ ΔΔ =

current AnevI =

work done VQW = ; W = ℰQ ; VItW =

resistance and resistorsALR

R = R1 + R2 +…

....RRR

++=21

111

power RVPRIP,IVP

22 === and

internal resistance ℰ = I(R + r) ; ℰ = V + Ir

potential divider inout VRR

RV ×

+=

21

2

2

1

2

1

RR

VV

=

waves v = f λ

Tf 1

=

API =

Dxaλ

=

refractionvcn =

n sinθ = constant

sin C =n1

quantum physics E = hf λ

hcE =

hf = φ + KEmax

phλ =

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Physics A© OCR 2017

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© OCR 2015 A Level in Physics A

Module 5 – Newtonian world and astrophysicsthermal physics E = mc∆θ

E = mLideal gases pV = NkT; pV = nRT

pV = 231 cNm

221 cm = 2

3 kT

E = kT23

circular motion ω =Tπ2 ; ω = 2πf

v = ωr

rva

2

= ; a = ω2r

F = r

mv 2

; F = mω2r

oscillations ω =Tπ2 ; ω = 2πf

a = – ω2x

x = Acosωt; x = Asinωt

v = ±ω 22 xA −

gravitational fieldmFg =

2rGMmF −=

2rGMg −=

32

2 4 rGM

T

π=

rGMV −=g

rGMm

−=energy

astrophysics hf = ∆E ; Eλ

hc Δ=

dsinθ = nλ

λmax ∝T1

L = 4πr2σT4

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© OCR 2015 A Level in Physics A

cosmology cv

ff

λλ

≈≈ΔΔ

dp 1

=

v = H0d

t = H0–1

Module 6 – Particles and medical physics

capacitance and capacitorsVQC =

dA

Cε0=

C = 4πε0RC = C1 + C2 +…

....111

21++=

CCC

W = 21 QV ; W =

CQ2

21 ; CVW 2

21=

τ = CR

CRt

xx−

= e0

)e-(10CR

t

xx−

=

electric fieldQFE =

204

=r

QqF

επ

204

=r

QE

επ

dVE =

rQV

0π4 ε=

energy = r

Qq

0π4 ε

magnetic field F = BILsinθ F = BQv

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Physics A© OCR 2017

Oxford Cambridge and RSA

Copyright Information

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If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest possible opportunity.

For queries or further information please contact the Copyright Team, First Floor, 9 Hills Road, Cambridge CB2 1GE.

OCR is part of the Cambridge Assessment Group; Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

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© OCR 2015 A Level in Physics A

electromagnetism φ = BAcosθ

ℰ = − t

N∆

∆ )φ(

s

p

p

s

p

s

II

VV

nn

==

radius of nucleus R = r0 A1/3

radioactivity A = λN;tN

∆∆ = - λN

λt1/2 = ln(2)A = A0e-λt

N = N0e-λt

Einstein’s mass-energy equation ∆E = ∆mc2

attenuation of X-rays I = I0e-µx

ultrasound Z = ρc

212

212

0 )()(

ZZZZ

II

+−

=r

cv

ff θcos2

=∆