AS Level Physics A (H156) A Level Physics A (H556) Data ...

1 Oxford Cambridge and RSA. Advanced Subsidiary GCE ( h156 ). Advanced GCE (H556). * 7 3 5 4 4 8 6 5 8 9 *. Physics A. Data, Formulae and Relationships Booklet 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. Physics A. Instructions to Exams Officer/Invigilator Do not send this Data Sheet for marking; it should be retained in the centre or destroyed. OCR 2017. DC (RW) 144757/2 Physics A CST992.

2 2. 2. 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 m s 2. elementary charge e 10 19 C. speed of light in a vacuum c 108 m s 1. Planck constant h 10 34 J s Avogadro constant NA 1023 mol 1. molar gas constant R J mol 1 K 1. Boltzmann constant k 10 23 J K 1. gravitational constant G 10 11 N m2 kg 2. permittivity of free space 0 10 12 C2 N 1 m 2 (F m 1). electron rest mass me 10 31 kg proton rest mass mp 10 27 kg neutron rest mass mn 10 27 kg alpha particle rest mass m 10 27 kg Stefan constant 10 8 W m 2 K 4. Quarks up quark charge = + 23 e down quark charge = 13 e strange quark charge = 13 e OCR 2015 A Level in Physics A.

3 OCR 2017 Physics A. 3. 3. Conversion factors unified atomic mass unit 1 u = 10-27 kg electronvolt 1 eV = 10-19 J. day 1 day = 104 s year 1 year 107 s light year 1 light year 1015 m parsec 1 parsec 1016 m Mathematical equations arc length = r . circumference of circle = 2 r area of circle = r2. curved surface area of cylinder = 2 rh surface area of sphere = 4 r2. area of trapezium = 1. 2. (a + b )h volume of cylinder = r2h 4. volume of sphere = 3 r3. Pythagoras' theorem:=. a2 b2 + c 2. cosine rule:=. a 2 b 2 + c 2 2bccosA. a b c sine rule: = =. sinA sinB sinC. sin tan and cos 1 for small angles log(AB) = log(A) + log(B) (Note: lg = log10 and ln = loge). A . log = log(A) log(B). B . log(xn) = n log(x).

4 Ln(ekx) = kx OCR OCR. 2017 2015 A LevelPhysics in Physics A A Turn over 4. 4. Formulae and relationships Module 2 Foundations of Physics vectors Fx = F cos . Fy = F sin . Module 3 Forces and motion uniformly accelerated motion v = u + at 1. =s (u + v )t 2. 1 2. =s ut + at 2. v2 = u2 + 2as force p F =. t p = mv turning effects moment = Fx torque = Fd m density =. V. pressure F. p=. A. p = h g work, energy and power W = Fx cos . useful energy output efficiency = 100%. total energy input W. P=. t P = Fv springs and materials F = kx E = 12 Fx ; E = 12 kx 2. F. =. A. x =. L.. E=.. 2017. OCR OCR 2015 A Level in Physics Physics A A. 5. 5. Module 4 Electrons, waves and photons charge Q = I t current I = Anev work done W = VQ ; W = Q ; W = VIt resistance and resistors L.

5 R=. A. R = R1 + R2 + . 1 1 1. = + + .. R R1 R 2. V2. power P= I 2 R and P =. VI , P =. R. internal resistance = I(R + r) ; = V + Ir R2. potential divider Vout = Vin R1 + R 2. V1 R1. =. V2 R 2. waves v = f . 1. f =. T. P. I=. A. ax =. D. c refraction n=. v n sin = constant 1. sin C =. n quantum Physics hc E = hf E=.. hf = + KEmax h =. p OCR OCR. 2017 2015 A Level Physics in Physics A A Turn over 6. 6. Module 5 Newtonian world and astrophysics thermal Physics E = mc . E = mL. ideal gases pV = NkT; pV = nRT. pV = 1. 3. Nm c 2. 1. 2. m c2 = 3. 2. kT. 3. E= 2. kT. circular motion = 2 ; = 2 f T. v = r v2. a= ; a = 2r r mv 2. F= ; F = m 2r r oscillations = 2 ; = 2 f T. a = 2x x = Acos t; x = Asin t v = A 2 x 2.

6 Gravitational field F. g=. m GMm F= . r2. GM. g= . r2. 4 2 3. T 2 = r . GM . GM. V=. g . r GMm energy = . r astrophysics hc hf = E ; = E.. dsin = n . 1. max . T. L = 4 r2 T4. OCR 2017 Physics A. OCR 2015 A Level in Physics A. 7. 7. cosmology f v . f c 1. p=. d v = H0d t = H0 1. Module 6 Particles and medical Physics Q. capacitance and capacitors C=. V. 0 A. C=. d C = 4 0R. C = C1 + C2 + . 1 1 1. = + + .. C C1 C 2. 1 Q2 2. W = 2 QV ; W = 1. 2 ; W = 21 V C. C. = CR. t . x = x0e CR. t . x = x 0 (1 - e CR ). electric field F. E=. Q. Qq F=. 4 0 r 2. Q. E=. 4 0 r 2. V. E=. d Q. V =. 4 0 r Qq energy =. 4 0 r magnetic field F = BILsin . F = BQv OCR 2017 Physics A Turn over OCR 2015 A Level in Physics A.

7 88. electromagnetism = BAcos . (N ). = . t n s V s Ip = =. n p Vp Is radius of nucleus R = r0 A1/3. radioactivity N. A = N; = - N. t t1/2 = ln(2). A = A0e- t N = N0e- t Einstein's mass-energy equation E = mc2. attenuation of X-rays I = I0e- x ultrasound Z = c I r (Z 2 Z1 ) 2. =. I 0 (Z 2 + Z1 ) 2. f 2vcos . =. f c Oxford Cambridge and RSA. Copyright Information OCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright holders whose work is used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in the OCR Copyright Acknowledgements Booklet.

8 This is produced for each series of examinations and is freely available to download from our public website ( ) after the live examination series. 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. OCR 2017 Physics A. OCR 2015 A Level in Physics A.