Friday 11 December 2020

250+ Physics Formulas Most commonly Used

 

250+ Physics Formulas Most commonly Used

If you are a student of science and looking for a concise list of all physics formulas then here we have shared the 250+ Physics Formulas Most commonly Used

Measurements

1.      Smallest unit of measurement by;

Measurement tape → 1 cm or 1mm

Meter rule or half meter rule → 0.1 cm or 1 mm

Vernier caliper → 0.01 cm or 0.1 mm

Screw gauge → 0.001 cm or 0.01 mm

2.      θ = s/r

3.      2π rad = 3600

4.      3600 = 1 revolution

5.      1 radian = 57.30

6.      1 degree = 60 minute

7.      1 minute = 60 seconds

8.      Angle at circle is 2π radian.

9.      Angle at sphere is 4π steradian.

10.  Volume of slid cylinder = πr2l

11.  Area of sphere = 4πr2

12.  Volume of sphere = 4/3 πr3

13.  Dimension of velocity = [LT-1]

14.  Dimension of acceleration= [LT-2]

15.  Energy of photon; E = hf

16.  Time period of pendulum; T = 2π 

Vectors and equilibrium

17.  Commutative property of vector= A+B = B+A

18.  Fx =F cosθ

19.  Fy = Fsinθ

20.  F = 

21.  A.B = AB cos θ

22.  A x B = AB sin θ

23.  Scalar product; work and power

24.  Vector product; torque

25.  τ = r x F

26.  First condition of equilibrium; ∑F = 0

27.  Second condition of equilibrium; ∑τ = 0

Motion and Force

28.  v = s/t

29.  a = v/t

30.  vf = vi +at

31.  s = vit + ½ at2

32.  2as = vf2 – vi2

33.  S = vave x t

34.  Vave 🙁 vi + vf )/2

35.  g = 9.8 ms-2 = 32 ft-2

36.  F = ma

37.  a = v/t

38.  P = mv

39.  P = F t

40.  Impulse; J = F x t = ∆P

41.  J = ∆P

42.  Law of conservation of momentum; ∆p = 0

43.  Elastic collision in one dimension; [v1 + v2] = [v1’+ v2’] 

44.  Magnitude of projectile velocity; Vf = 

45.  Height of projectile; H = vi2sin2θ/2g

46.  Time of flight; T = 2 vi sinθ/g

47.  Time of summit or time to reach to highest point; T = vi sinθ/g

48.  Range; R = vi2 sin 2θ/g

49.  Rmax = vi2/g

50.  R = Rmax at 450

Work and Energy

51.  W = Fd cosθ

52.  Power; p=W/t or p =Fv

53.  1 watt = Js-1

54.  1 hp = 746 watts

55.  K.E = ½ mv2

56.  P.E = mgh

57.  Efficiency = output/input = W x D/P x d

58.  Absolute potential energy =Fr = - GmMe/Re (- because work is done against gravity)

59.  Gravitational potential = E/m = GMe/Re

60.  For escape velocity compare K.E with Absolute potential energy; vesc =  → vesc = 

61.  G = 6.67 x 10-11 Nm2kg-2

62.  Re = 6.4 x 106 m

63.  Me = 6 x 1024 kg

64.  Vesc = 11.2 x 103 ms-1

65.  Wh = K.E + fh → (Wh = loss in potential energy)

66.  Loss in P.E = Gain inn K.E + work done against friction

67.  E = mc2 →(c= 3 x 108 ms-1)

Rotational and circular motion

68.  Angular velocity; ω = ∆θ/∆t

69.  Angular acceleration; α = ∆ω/∆t → a = α x r

70.  v = r ω

71.  Fc = mv2/r

72.  ac = -(v2/r)

73.  Centrifugal force= mv2/r

74.  F sin θ = mv2/r

75.  F cos θ = mg

76.  Tan θ = v2/gr

77.  Τorque = r F = rma = rm (rα) 🙁 r2m)α = I α

78.  Moment of inertia; I = mr2

79.  Ring or thin walled cylinder inertia(I) = MR2

80.  Disc or solid cylinder inertia = ½ MR2

81.  Disc inertia = ½ M (R22 + R12 )

82.  Solid sphere inertia = 2/5 MR2

83.  Solid rod or meter stick inertia = 1/12 Ml2

84.  Rectangular plate inertia = 1/12 M (a2+b2)

85.  Angular momentum = L = r x p = r mv = rmrω =r2mω = Iω

86.  L = rmv → L/t = rmv/t = rma = rF = τ

87.  L/t = τ

88.  Linear kinetic energy = ½ mv2

89.  Rotational kinetic energy = ½ Iω2

90.  Velocity of hoop = v = 

91.  Velocity of disc = v = 

92.  Critical velocity = v = 7.9 km2

93.  The orbital velocity = v = 

94.  Lift at rest → T =w

95.  Lift moving downward → T = w – ma

96.  Lift moving upward → T = w + ma

97.  Lift falling freely = T  mg-ma = 0

98.  Frequency for artificial satellite → f = 

Fluid dynamics

99.  Drag force → Fd = 6 πη r v

100.       Terminal velocity → vt = 

101.       Continuity equation → A1 v1 = A2 v2

102.       Av=∆V/∆t = constant

103.       ∆m/∆t = ρ ∆V/∆t

104.       Bernoulli’s Equation = P + ½ ρv2 + ρgh = constant

105.       Torricelli’s Theorem → v = 

106.       Flow meter or the venture meter → v1 = 

Oscillation

107.       Frequency → f=1/T

108.       Angular frequency → ω = 2πf

109.       Time period → T = 2π/ω

110.       Velocity of projection → vy = ω

111.       Simple pendulum time period → T = 2π 

112.       Simple pendulum potential energy = ½ kx2

113.       Simple pendulum kinetic energy = ½ kx02 -½ kx2

114.       Total energy of simple pendulum = ½ kx02

115.       Resonance frequency = Fn = nf1

116.       Phase → θ =ω t

Waves

117.       Transverse wave speed →  

118.       Longitudinal waves speed → 

119.       Phase change→ 2π = λ

120.       Phase difference → δ = 2π/λ

121.       Speed of sound by newton → v =  = 281 ms-1

122.       Laplace correction → v =  = 332 ms-1

Chap No.11   ELECTROSTATICS

123.       1 e = 1.602 x 10-19 C

124.       Q = ne

125.       Coulomb’s Law; F = k  

126.       K =  

127.       K = 9.0 x 109 N m2 C-2

128.       εo = 8.85 x 10 -12 C2 N-1 m-2

129.       εr = 

130.       Fmed =  

131.       E =  =  = K 

132.       Ф = E A cos θ = N m2 C-1

133.       Ф = 

134.       E due to sheet of charge;  E = 

135.       E due to charge palates;     E = 

136.       V =  =                             Volt = Joule / Coulomb

137.       Electric potential energy;  U = 

138.       Electric potential;     V =   =  =  

139.       Potential Gradient =  E = -  

140.       1 eV =1.602 x 10-19 C x 1V           →   (1 eV = 1.602 x 10-19 J)

141.       C =  = C V-1 = farad

142.       Charge density;   σ = 

143.       Cvac =  =  =  

144.       εr = Cmed / Vvac

146.       Capacitors In Series;

147.       Q = Q1 = Q2 =Q3

148.       V =V1 + V2 + V3

149.       1/Ce = 1/C1 + 1/C2 + 1/C3

150.       Capacitors In Parallel;

151.       Q = Q1 = Q2 = Q3

152.       V = V1 + V2 +V3,

153.       Ce = C1 + C2 + C3

154.       Electric dipole; P = q d

155.       Energy = U =   =   (Ed)2

156.       Energy density; E2

157.       Maximum charge on capacitor = C x e.m.f

158.       q/q0 = 63.2 %          →for charging

159.       q/q0 = 36.7 %          →for discharging

160.       q = q0 (1-e-t/RC )       →for charging

161.       q = q0 e-t/RC               →for discharging

Chap No. 12   CURRENT ELECTRICITY

162.       Current, I = Q/t → C s-1 = A

163.       Drift velocity order = 10-5 m/s.

164.       V = IR

165.       Tan θ = I/V = 1/R

166.       Resistance, R = V/I  → 1Ω = 1V/1A

167.       R = ρ L/A  → Ω.m

168.       Conductance, G = 1/R  → Siemen(S)  or mho

169.       Conductivity, σ = 1/ρ =L/RA   →mho/m or S/m

170.       Pure metals R inc with T inc.

171.       Electrolytes and insulators, R dec with T inc.

172.       ΔR = αR0 T   → RT  = R0 (1+αT)

173.       Temperature co-efficient of Resistance, α =  RT  – R0/R0T   → K-1

174.       Resistivity, ρ T  = ρ 0 (1+αT)  OR   α =  ρ T  – ρ 0/ ρ 0T   → K-1

175.       Electromotive Force, ε = W/q     → 1 volt = 1 joule/coulomb

176.       Open circuit, I = 0 so  V= ε

177.       Terminal Voltage, Vt = ε - Ir

178.       Power,  P = W/t = VI    → 1 Watt = 1V x 1A

179.       1 kWh = 1 unit of electrical energy

180.       1 J = 1W x 1s

181.       Maximum output power,  (Pout)max = ε2 /4r = ε2 /4R

182.       Thermo emf,    ε = αT + ½ βT2

183.       KCL, ƩI = 0

184.       KVL,  Ʃε = ƩV = ƩIR

185.       KCL based on L.O.C.O.CHARGE

186.       KVL based on L.O.C.O.ENERGY

187.       Wheatstone Bridge,  X = PQ/R

188.       Potentiometer,  ε2 /ε1 = I2 /I1

189.       Tan θ = I/V = 1/R

Chap No. 13  ELECTROMAGNETISM

190.       Force on current carrying wire, F=BIL sin θ.

191.       Magnetic field or magnetic induction, B = F/IL →1 tesla =1 NA-1 m-1 = 1 Wb m-2

192.       1 T = 104 G

193.       Magnetic Flux,    Ф = B A cos θ     → 1 Wb = 1 N m A-1.

194.       Ampere’s Law,   B  I/r = μ0 (I/2πr)    OR      ƩB.ΔL = μ0 I

195.       Bnet = B1 + B2

196.       Magnetic field due to current carrying solenoid,  B = μ0 n I  → n=N/L

197.       Motion of charge particle in uniform magnetic field,    F=q v B sin θ

198.       Centripetal Force = Magnetic force   → mv2/r = qvB

199.       Time period of charge particle in B,        T = 2πm/qB

200.       Frequency of charge particle in B,       f = qB/2πm

201.       Velocity selector,              FE = FM  →   qE = qvB     → v = E/B

202.       Torque on current carrying coil,    τ = NBIA cos θ

203.       Ρestoring torque,      τ = C θ

204.       Galvanometer,   NBIA cos θ = C θ    → I = Cθ/NAB    → I  θ

205.       Conversion of galvanometer into ammeter,  small R connected in parallel

206.       Conversion of galvanometer into voltmeter,     large R in series are connected

207.       Ammeter,   Rs = Rg Ig / (I – Ig)      → Ideal ammeter → 0 R

208.       Voltmeter,   Rh = (V/Ig) – Rg                → Ideal voltmeter → infinite R

Chap No. 14 ELECTROMAGNETIC INDUCTION

209.       Faraday’s Law,   ε  N (ΔФ/Δt)    → ε = N (ΔФ/Δt )

210.       Lenz Law,     ε = –N (ΔФ/Δt ) 

211.       Flux motional emf,   ε = Blv sin θ

212.       Rate of work done,   W= Bilv

213.       Rate of production of electrical energy,    energy =ε I

214.       W = energy   → Bilv = εI  → ε = Blv

215.       Power,   P = F v

216.       ε = L ΔI/Δt   or ε = N ΔФ/Δt   → LI = NФ

217.       Self-Inductance,    L = NФ /I

218.       ε = M ΔI/Δt   or ε = N ΔФ/Δt   → MI = NФ

219.       Mutually inductance,   M = NФ /I

220.       F = 1/T

221.       Induced emf,  ε = NAB cosωt   or  NAB ω sinωt

222.       ε = εmax sin ωt

223.       Back emf,   V = ε + IR

224.       Ns / Np = Vs / Vp = Ip /Is

Chap 16    PHYSICS OF SOLIDS

225.       Elastic modulus = 

226.       Tensile stress = 

227.       Tensile strain = 

228.       Young modulus =     = Nm-2

229.       Shear stress = 

230.       Shear strain =   = tan θ

231.       Shear modulus = rigidity modulus =  = 

232.       Bulk or volume stress = 

233.       Bulk modulus (in fluids) = Δp =  

234.       Volume strain =- 

235.       Bulk modulus =  = 

236.       Stress  strain (Hook’s law)

237.       A =  r2

238.       W = ½Fe   (work done on stretching wire).

239.       Strain energy = ½ F e

240.       Strain energy per unit volume =   = ½ (stress) (strain )

Chap 18    DAWN OF MODERN PHYSICS

241.       E = m0  c2

242.       L= L0  

243.       T = t0 

244.       M = m0 

245.       λmax T = 0.2898 x 10-2 m k     (Wein’s displacement law)

246.       E = σ T4                                     (Steffan-Bolts Law)

247.       σ = 5.67 x 10-8 Wm-1 K-4

248.       E = n h f

249.       K.Emax = e V0

250.       K.Emax = h f – Ф

251.       H f0 = Ф =  

252.       K.Emax = hf - Hf0

253.       Hf = K.E +hf’

254.       P= 

255.       Δλ = 1-

256.        =  +  1-

257.       Ephoton = Eelectron + Epositron

258.       Photon rest mass energy = 2m0c2 = 1.02 MeV

259.        = mve-  + mve+

260.       λ =  = 

261.       Δp =           and         Δx = λ

262.       (Δp)(Δx) = h

263.       (ΔE)(Δt) = h

Chap 19    ATOMIC SPECTRA

264.        = R (  -  )

265.       R =E0 / hc = 1.097 x 107m-1.

266.       mvr = nh/2π.

267.       h = planks constant = 6.6256 x 10-34 j s.

268.       E = hf = En – Ep

269.       rn =  

270.       En = -  

271.       En  = = 2.17 x 10-18 j/ n2 = +13.6 ev/ n2

272.       rn  = n2 r1 → r1 = 0.53 0A.

273.       1 0A = 10- m

274.       2πr=nλ

275.       eV → hfmax = hc/λmin

276.       λmin = hc/eV

277.       excited state for 10-8 s.

278.       metastable state for 10-3 s

Chap 20  NUCLEAR PHYSICS

279.       Nuclear size is of the order of 10-14 m.

280.       The mass of the nucleus is of the order of 10-27 kg.

281.       ½ mv2 = Vq

282.       Bqv = mv2/r

283.       Bqv = mv2/r → m = Bqr/v

284.       ½ mv2 = Vq → v2 = 2Vq/m

285.       So m = qr2B2/2V

286.   Δm = Zmp + Nmn – M(A,Z)

287.       The binding energy in MeV is 931 x Δm.

288.       The binding energy per nucleon = Eb/A.

289.       0n1 → 1H1 + -1β0 + antineutrino 12 MIN

290.       ΔN/Δt =-λN

291.       R =- ΔN/Δt =λN

292.       N= N0e-λt

293.       1 Bq = 1 decay per second

294.       1 Ci = 3.70 x 1010 decay/s

295.       λT ½ = 0.693

296.       The charge on u,t and c, in term of electron is +2/3e.

297.       The charge on s,t and b in term of electron is -1/3e.

298.       proton =2U→D.

299.        neutron


You may also like:

This is the post on the topic of the 250+ Physics Formulas Most commonly Used. The post is tagged and categorized under Tags. For more content related to this post you can click on labels link.
You can give your opinion or any question you have to ask below in the comment section area. Already 0 people have commented on this post. Be the next one on the list. We will try to respond to your comment as soon as possible. Please do not spam in the comment section otherwise your comment will be deleted and IP banned.

No comments:
Write comments

Trending!

–>