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#Physics# ~Midterm~ @PH2.4@ =PH2.5= Name ________________________ Mark / 64 GCE PHYSICS TAG FFISEG Advanced Level / Safon Uwch Constants, Formulae, and Mathematical Information A clean copy of this booklet should be issued to candidates for their use during each GCE Physics examination in the new specification. It is not to be used in legacy specification examinations. Centres are asked to issue this booklet to candidates at the start of the GCE Physics course to enable them to become familiar with its contents and layout. Fundamental Constants Avogadro constant Fundamental electronic charge Mass of an electron Molar gas constant Acceleration due to gravity at sea level Universal constant of gravitation Planck constant Speed of light in vacuo Permittivity of free space Permeability of free space Stefan constant Wien constant Units T / K = / C + 27315 1 u = 166 10-27 kg NA e me R g G h c o o W = = = = = = = = = = = = 6.02 1023 mol 1 160 1019 C 911 1031 kg 831 J mol1 K1 981 m s2 667 10-11 N m2 kg-2 663 1034 J s 300 108 m s1 885 1012 F m1 4 107 H m1 567 10-8 W m2 K-4 290 10-3 m K AS m I V v u at x 1 2 c f Q t T I nAve u v t R l v 2 u 2 2ax F = ma W Fx cos E mg h E 12 kx 2 ay D d sin n n1v1 n2 v2 n1 sin 1 n2 sin 2 Ek max hf V E Ir V VOUT R Vtotal VIN Rtotal or E 12 mv 2 f A V R I P IV x ut 12 at 2 1 max W T 1 P A T 4 Fx 12 mv 2 12 mu 2 Efficiency Useful energy transfer total energy input 100% Particle Physics particle (symbol) charge (e) Lepton number Leptons electron electron neutrino (e ) (e) 0 1 1 1 Quarks up (u) down (d) 23 13 0 0 A2 v r Mr 1000 pV nRT a 2r p 13 c 2 a 2 x x A sin( t ) v A cos ( t ) U 32 nRT F BIl sin and F Bqv sin M / kg t k m T 2 k p mv Q mc h p v c o I 2 a B o nI AB cos V Vr.m.s. 0 2 B R NA W pV A N U Q W Q C V o A N N o e t or N C A Ao e t d U 12 QV No 2x A or A xo 2 log e 2 T 12 E mc 2 Q Q0 e RC t Fields 1 Q1Q2 4 0 r 2 MM F G 12 2 r F E 1 Q 40 r 2 g GM r2 1 Q 40 r GM Vg r VE W qVE , W mVg Orbiting Bodies Centre of mass: r1 M2 d; M1 M 2 Period of Mutual Orbit: T 2 Options A: V1 N1 B: c C: V2 N2 1 0 0 l l ; I ; t ; E L ; t D: I I 0 exp x ; X L L ; XC 1 C 1 Y d3 G M1 M 2 ; v2 c2 F A Z c ; U 12 V ; Z X 2 R2 ; Q 0 L R E: Q t AK x Q2 T2 Q1 T1 K x U ; Carnot efficiency Q1 Q2 Mathematical Information SI Multipliers Multiple Prefix Symbol Multiple Prefix Symbol 10-18 atto a 103 kilo k 10-15 femto f 106 mega M 10-12 pico p 109 giga G 10-9 nano n 1012 tera T 10-6 micro 1015 peta P 10-3 milli m 1018 exa E 10-2 centi c 1021 zetta Z Areas and volumes Area of a circle r 2 d2 4 Area of a triangle = ½ base height ; Solid rectangular block Surface area 2 lh hb lb cylinder 2 r r h sphere 4 r 2 Volume lbh r 2h 4 r3 3 Trigonometry P R sin PQ ; PR Q cos QR ; PR tan PQ ; QR PR2 = PQ2 + QR2 sin tan cos Q1 1) Draw an atom of oxygen, 168 O (3) 2) For the atom Saundium, BA Sa , what do the letters A and B represent? ................................................................................................................................... ................................................................................................................................... (2) 3) Uranium has 92 electrons and 146 neutrons, write this in the notation above ................................................................................................................................... ................................................................................................................................... (2) 4) Tick the correct boxes in the table below Lepton Hadron Baryon Meson Proton Pion+ Electron Antielectron neutrino Up quark (5) 5) Complete the following table: Quark Up Charge 2/3 Baryon number Down Lepton number 1/3 Anti-up Anti-down 0 1/3 (4) 6) A proton has a charge of +1 and a Baryon number of +1, describe an antiproton ................................................................................................................................... ................................................................................................................................... (2) 7) Beta decay of Carbon-14 is shown below C 147 N 10 14 6 What is missing from this equation and why is it needed? ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... (2) 8) Complete the following table Force Gravitational Experienced by Range Very short range All charged particles Strong (4) 9) What is the difference between a baryon and a meson? ................................................................................................................................... ................................................................................................................................... (2) 10) What do mesons always contain ................................................................................................................................... ................................................................................................................................... (1) 11) A neutron is a neutral baryon, using the table in question 5 give its structure ................................................................................................................................... ................................................................................................................................... (2) 12) A pi plus is a positive meson, using the table in question 5 give its structure ................................................................................................................................... ................................................................................................................................... (2) 13) What is a line absorption spectrum and how do they occur in stars ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... (2) 14) What are black bodies? ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... (2) 15) Sketch a graph of a yellow stars intensity against wavelength given that yellow has a wavelength of 550nm (3) 16) Add to the sketch a line for a colder star (2) 17) State Wien’s displacement law in words ................................................................................................................................... ................................................................................................................................... (2) 18) What is the peak wavelength of a star with a temperature of 9000°C? ................................................................................................................................... ................................................................................................................................... (3) 19) Stephan-Boltzan’s law is: I T 4 , where T is the Kelvin temperature What is the term I and what are its units? ................................................................................................................................... ................................................................................................................................... (2) 20) Luminosity is the term given to the power of a star. How is luminosity linked to area, σ and temperature? ................................................................................................................................... ................................................................................................................................... (1) 21) What is the formula for the surface area of a sphere? ................................................................................................................................... ................................................................................................................................... (1) 22) Calculate the luminosity of the sun. Its diameter is 1.4x106km and its temperature is 5800K. (you will need the equations from Q19, Q20 & Q21) ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... (3) 23) Calculate the radius of a star whose luminosity is 4.5x1028W at a temperature of 14,000K. (you will need the equations from Q19, Q20 & Q21) ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... (3) 24) Give the rough percentage (by mass) of hydrogen and helium in the observed universe. .................................................................................................................................... .................................................................................................................................. ................................................................................................................................... (2) 25) The following is the proton-proton chain. p p d X ve p d 23He Y 3 2 He 23He 24 He Z What do the letters X, Y and Z represent? X = ............................................................................................................................. Y = ............................................................................................................................. Z = ............................................................................................................................. (3) 25) What makes d similar to p and what makes d different to p? (p.s. it’s not just that they are different letters) ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... (2) 26) What does the symbol ve represent and why are they so hard to detect on Earth? ................................................................................................................................... ................................................................................................................................... (2)