Advanced Subsidiay GCE (H57) Advanced GCE (H557) Physics B (Advancing Physics) Data, Fomulae and Relationships Booklet The infomation in this booklet is fo the use of candidates following the Advanced Subsidiay GCE in Physics B (Advancing Physics) (H57) couse and Advanced GCE in Physics B (Advancing Physics) (H557) couse. Clean copies of this sheet must be available in the examination oom, and must be given up to the invigilato at the end of the examination. Copies of this sheet may be used fo teaching. This document consists of 8 pages. Instuctions to Exams Office/Invigilato Do not send this Data Sheet fo making; it should be etained in the cente o destoyed. OCR 06 A Level in Physics B (Advancing Physics)
Data, Fomulae and Relationships Data Values ae given to thee significant figues, except whee moe o fewe ae useful. Physical constants speed of light c 3.00 0 8 m s - pemittivity of fee space ε 0 8.85 0 - C N - m - (o F m - ) electic foce constant k 4ε 0 8.98 0 9 N m C - ( 9 0 9 N m C - ) pemeability of fee space 0 4 0-7 N A - (o H m - ) chage on electon e.60 0-9 C mass of electon m e 9. 0-3 kg = 0.000 55 u mass of poton m p.673 0-7 kg =.007 3 u mass of neuton m n.675 0-7 kg =.008 7 u mass of alpha paticle m 6.646 0-7 kg = 4.00 5 u Avogado constant L, N A 6.0 0 3 mol - Planck constant h 6.63 0-34 J s Boltzmann constant k.38 0-3 J K - mola gas constant R 8.3 J mol - K - gavitational foce constant G 6.67 0 - N m kg - OCR 06 A Level in Physics B (Advancing Physics)
3 Othe data standad tempeatue and pessue (stp) 73 K (0 C),.0 0 5 Pa ( atmosphee) mola volume of a gas at stp V m.4 0 - m 3 gavitational field stength at the Eath s suface in the UK g 9.8 N kg - Convesion factos unified atomic mass unit u =.66 0-7 kg day = 8.64 0 4 s yea 3.6 0 7 s light yea 0 6 m Mathematical constants and equations e =.7 = 3.4 adian = 57.3 ac = sin tan and cos fo small cicumfeence of cicle = aea of cicle = suface aea of cylinde = h ln(x n ) = n lnx volume of cylinde = h ln(e kx ) = kx suface aea of sphee = 4 volume of sphee = 4 3 3 Pefixes 0 - p 0-9 n 0-6 0-3 m 0 3 k 0 6 M 0 9 G OCR 06 A Level in Physics B (Advancing Physics)
4 Fomulae and elationships Imaging and signalling focal length linea magnification efactive index v u f v m u sini c n sin c st medium nd medium noise limitation on maximum bits pe sample b = log Vtotal Vnoise altenatives, N, povided by n bits N = b, b = log N Electicity cuent potential diffeence powe and enegy e.m.f and potential diffeence Q I t W V Q P = IV = I R, W=VIt V = E I conductos in seies and paallel... G G G G = G + G +... esistos in seies and paallel R = R + R +...... R R R potential divide V out R R R V in conductivity and esistivity capacitance G A L Q C V R L A enegy stoed in a capacito E = QV = CV dischage of capacito dq Q Q = Q 0 e -t/rc = RC dt RC OCR 06 A Level in Physics B (Advancing Physics)
5 Mateials Hooke s law F = kx elastic stain enegy kx Young modulus stess E, stain stess tension coss- sectional aea, extension stain oiginal length Gases kinetic theoy of gases ideal gas equation pv Nmc 3 pv = nrt = NkT Motion and foces momentum p = mv impulse Ft foce F = Δ ( mv ) Δt wok done W = Fx E = Fs powe P = Fv, P = components of a vecto in two pependicula diections Fsinθ E t F θ Fcosθ equations fo unifomly acceleated motion s ut at v u at v u as v fo cicula motion a mv, F = mω OCR 06 A Level in Physics B (Advancing Physics)
6 Enegy and themal effects enegy aveage enegy appoximation Boltzmann facto E = mc aveage enegy ~ kt E e kt Waves wave fomula fequency and peiod diffaction gating v = f λ f T nλ = dsin Oscillations simple hamonic motion d x k a x x dt m x = A cos (t) x = A sin (t) ω = πf Peiodic time T T m k L g total enegy E = ka = mv + kx Atomic and nuclea physics adioactive decay half life adioactive dose and isk ΔN Δt T λn ln λ N N 0 e λt absobed dose = enegy deposited pe unit mass effective dose = absobed dose x quality facto isk = pobability consequence mass enegy elationship E est = mc OCR 06 A Level in Physics B (Advancing Physics)
7 elativistic facto γ v / c elativistic enegy enegy fequency elationship fo photons de Boglie E total = γe est E = hf h λ p Field and potential fo all fields gavitational fields electic fields field stength F g, Egav m V gav GM, dv d GmM ΔV Δ GmM F F V kqq E, electical potential enegy q d kq V electic, kqq F Electomagnetism magnetic flux foce on a cuent caying conducto foce on a moving chage Φ = BA F ILB F = qvb d(nφ ) Induced e.m.f E = dt OCR 06 A Level in Physics B (Advancing Physics)
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