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Equation relating speed, frequency, and wavelength of a wave

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Presentation on theme: "Equation relating speed, frequency, and wavelength of a wave"— Presentation transcript:

1 Equation relating speed, frequency, and wavelength of a wave

2 𝑐= 𝑓𝜆

3 Definition of PERIOD (T)

4 Time taken for one complete oscillation (measured in seconds)

5 Definition of FREQUENCY (f)

6 Number of complete oscillations per second

7 Equation relating frequency and period of an oscillation

8 𝑓= 1 𝑇

9 Equation for finding the frequency of the first harmonic for stationary waves on a string

10 𝑓= 1 2𝑙 𝑇 𝜇

11 Equation for the double slit experiment, relating fringe separation, slit spacing, distance from screen, and wavelength of light.

12 𝑤= 𝜆𝐷 𝑠

13 Equation for diffraction grating

14 𝑑 𝑠𝑖𝑛𝜃= 𝑛𝜆

15 Formula for refractive index of a substance

16 𝑛= 𝑐 𝑐 s

17 Law of Refraction

18 𝑛 1 𝑠𝑖𝑛 𝜃 1 = 𝑛 2 𝑠𝑖𝑛 𝜃 2

19 Critical Angle

20 𝑠𝑖𝑛 𝜃 𝑐 = 𝑛 2 𝑛 1 for n1 > n2

21 Moment of a Force

22 Force × perpendicular distance from the pivot, Fd

23 Word definition of velocity

24 Rate of change of displacement

25 Definition of velocity in symbols

26 𝑣 = Δ𝑠 Δ𝑡

27 Word definition of acceleration

28 Rate of change of velocity

29 Definition of acceleration in symbols

30 𝑎 = Δ𝑣 Δ𝑡

31 Equations of motion for uniform acceleration (the “suvat” equations)

32 𝑣=𝑢+𝑎𝑡 𝑠= 𝑢+𝑣 2 𝑡 𝑣 2 = 𝑢 2 +2𝑎𝑠 𝑠=𝑢𝑡+ 1 2 𝑎 𝑡 2

33 Equation relating force, mass, and acceleration

34 𝐹= 𝑚𝑎

35 Definition of momentum (p)

36 momentum = mass × velocity p = mv

37 Definition of impulse

38 𝐹∆𝑡= ∆(𝑚𝑣

39 Equation relating force, momentum, and time in words

40 Force = rate of change of momentum

41 Equation relating force, momentum, and time in symbols

42 𝐹= 𝑚𝑣−𝑚𝑢 𝑡 or 𝐹= ∆𝑚𝑣 𝑡

43 Equation relating work done, force, and distance

44 𝑤= 𝐹𝑠 or 𝑤= 𝐹𝑠 𝑐𝑜𝑠 𝜃

45 Equation for kinetic energy

46 𝐸 𝑘 = 1 2 𝑚 𝑣 2

47 Equation for gravitational potential energy

48 ∆ 𝐸 𝑝 = 𝑚𝑔∆ℎ

49 Definition of POWER in words

50 Power is the rate of conversion of energy

51 Definition of POWER (P) in symbols

52 𝑃= ∆𝑤 ∆𝑡

53 Equation relating power, force, and velocity

54 𝑃= 𝐹𝑣

55 Definition of EFFICIENCY

56 𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦= 𝑢𝑠𝑒𝑓𝑢𝑙 𝑝𝑜𝑤𝑒𝑟 𝑜𝑢𝑡𝑝𝑢𝑡 𝑡𝑜𝑡𝑎𝑙 𝑝𝑜𝑤𝑒𝑟 𝑖𝑛𝑝𝑢𝑡
𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦= 𝑢𝑠𝑒𝑓𝑢𝑙 𝑝𝑜𝑤𝑒𝑟 𝑜𝑢𝑡𝑝𝑢𝑡 𝑡𝑜𝑡𝑎𝑙 𝑝𝑜𝑤𝑒𝑟 𝑖𝑛𝑝𝑢𝑡 𝑝𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑐𝑦= 𝑢𝑠𝑒𝑓𝑢𝑙 𝑝𝑜𝑤𝑒𝑟 𝑜𝑢𝑡𝑝𝑢𝑡 𝑡𝑜𝑡𝑎𝑙 𝑝𝑜𝑤𝑒𝑟 𝑖𝑛𝑝𝑢𝑡 × 100 %

57 Definition of DENSITY

58 𝜌= 𝑚 𝑣

59 Hooke’s Law

60 𝐹= 𝑘∆𝐿

61 Young Modulus

62 𝑡𝑒𝑛𝑠𝑖𝑙𝑒 𝑠𝑡𝑟𝑒𝑠𝑠 𝑡𝑒𝑛𝑠𝑖𝑙𝑒 𝑠𝑡𝑟𝑎𝑖𝑛 = 𝐹×𝐿 𝐴 × ∆𝐿

63 Tensile Stress

64 F A

65 Tensile Stress

66 Δ𝐿 L

67 Equation for calculating energy stored in a stretched or compressed material obeying Hooke’s Law

68 𝐸= 1 2 𝐹∆𝐿 𝐸 = 1 2 𝑘∆ 𝐿 2

69 Equation for calculating energy stored per unit volume for a stretched or compressed material obeying Hooke’s Law

70 ½ stress × strain

71 Definition of WEIGHT

72 𝑊=𝑚𝑔

73 Equation for energy of a photon

74 𝐸=ℎ𝑓= ℎ𝑐 𝜆

75 Photoelectric effect equation

76 ℎ𝑓=𝜙+ 𝐸 𝑘(max

77 de Broglie wavelength

78 𝜆= ℎ 𝑝 = ℎ 𝑚𝑣

79 Definition of Work Function

80 𝜙 = the minimum amount of energy needed to release an electron from the surface of a metal 
𝜙=ℎ𝑓0

81 Definition of Stopping Potential

82 Stopping potential, 𝑉𝑠 is the potential difference needed to stop the fastest moving electron in a photocell experiment Ek(max) = eVs

83 Definition of Specific Charge

84 Q m

85 Equation relating current, charge, and time

86 𝐼= ∆𝑄 ∆𝑡

87 Equation relating p.d., work done, and charge

88 𝑉= 𝑊 𝑄

89 Definition of the VOLT

90 1 joule per coulomb

91 Equation relating p.d., current, and resistance

92 𝑉= 𝐼𝑅

93 Equation defining resistivity

94 ρ= 𝑅𝐴 𝑙

95 Equation for calculating total resistance of resistors in series

96 𝑅 𝑇 = 𝑅 1 + 𝑅 2 + 𝑅 3 …

97 Equation for calculating total resistance of resistors in parallel

98 1 𝑅 𝑇 = 1 𝑅 𝑅 𝑅 3 +… or 𝑅 𝑇 = 𝑅 𝑅 𝑅 3 +… −1

99 Three equations for electrical power in a circuit

100 𝑃=𝐼𝑉= 𝐼 2 𝑅= 𝑉 2 𝑅

101 Equation relating p.d. and current to the total energy transferred by a component in a time, t.

102 𝐸=𝐼𝑡𝑉

103 Definition of electromotive force (emf) in words and symbols

104 amount of energy supplied per coulomb by a power source
𝜀= 𝐸 𝑄 units: volts

105 Equation relating emf of a power supply, its internal resistance and the external resistance in a circuit

106 𝜀=𝐼(𝑅+𝑟

107 Equation relating emf of a power supply, its internal resistance, the current through the circuit, and the p.d. across the external components

108 𝑉=𝜀−𝐼𝑟

109 Equation defining angular speed

110 𝜔= 𝜃 𝑡

111 Equation relating angular speed to frequency of orbit

112 𝜔= 2𝜋𝑓

113 Equation relating angular speed to period of orbit

114 𝜔= 2𝜋 𝑇

115 Equation relating angular speed to linear velocity and radius of orbit

116 𝜔= 𝑣 𝑟

117 Equation for centripetal force

118 𝐹= 𝑚𝑣 2 𝑟 =𝑚 𝜔 2 𝑟

119 Equations for centripetal acceleration

120 𝑎= 𝑣 2 𝑟 = 𝜔 2 𝑟

121 Criteria for Simple Harmonic Motion (SHM)

122 Acceleration is proportion to the displacement, and always directed in the opposite direction, towards the equilibrium position

123 Equation relating acceleration and angular frequency in SHM

124 a = -ω2x

125 Equation for displacement in SHM

126 x = A cos(ωt)

127 Equation for speed in SHM

128 𝑣=± 𝜔 𝐴 2 − 𝑥 2

129 Equation for maximum speed in SHM

130 𝑣 𝑚𝑎𝑥 =𝜔𝐴

131 Equation for maximum acceleration in SHM

132 𝑎 𝑚𝑎𝑥 = ω2A

133 Equation for period of SHM in a mass-spring system

134 𝑇=2𝜋 𝑚 𝑘

135 Equation for period of SHM of a simple pendulum

136 𝑇=2𝜋 𝑙 𝑔

137 Definition of specific heat capacity

138 Definition of specific latent heat of fusion

139 Definition of specific latent heat of vaporisation

140 Energy needed to change temperature of a substance

141 𝑄=𝑚𝑐Δ𝜃

142 Energy needed to change state of a substance

143 𝑄=𝑚𝑙

144 Gas Law with Boltzmann Constant

145 𝑝𝑉=𝑁𝑘𝑇

146 Gas Law with molar gas constant

147 𝑝𝑉=𝑛𝑅𝑇

148 Kinetic Theory Equation

149 𝑝𝑉= 1 3 𝑁𝑚 𝑐 rms 2

150 Kinetic Energy of a Gas Molecule

151 1 2 𝑚 𝑐 rms 2 = 3 2 𝑘𝑇= 3𝑅𝑇 2 𝑁 A

152 Relationship between Pressure, Temperature, and Volume

153 𝑃 1 𝑉 1 𝑇 1 = 𝑃 2 𝑉 2 𝑇 2

154 Gravitational force between two masses

155 𝐹= 𝐺𝑚 1 𝑚 2 𝑟 2

156 Word definition of gravitational field strength

157 Force per unit mass

158 Equation defining of gravitational field strength

159 𝑔= F m

160 magnitude of gravitational field strength in a radial field

161 𝑔= GM 𝑟 2

162 Work done in moving a mass in a gravitational field

163 Δ𝑊=𝑚Δ𝑉

164 Word definition of gravitational potential

165 the work done per unit mass in bringing a point mass from infinity to a point in a gravitational field (unit: 𝐽𝑘𝑔−1)

166 Equation for gravitational potential

167 𝑉=− GM r

168 Why is gravitational potential always negative?

169 zero gravitational potential is defined as being as being at infinity, and since work has to be done to a mass to get it to infinity, gravitational potential is always negative

170 Equation relating gravitational field strength and gravitational potential

171 g=− Δ𝑉 Δ𝑟

172 Equation for escape velocity

173 𝑣 𝑒𝑠𝑐 = 2𝐺𝑀 𝑟

174 Equation relating period of satellite orbit to radius of orbit

175 𝑇 2 = 4 𝜋 2 𝐺𝑀 𝑟 3

176 Equation for gravitational potential energy in a radial field

177 𝐸 𝑝 = − 𝐺𝑚 1 𝑚 2 𝑟

178 force between two point charges

179 𝐹= 1 4𝜋 𝜀 𝑄 1 𝑄 2 𝑟 2

180 Word definition of electric field strength

181 Force per unit charge

182 definition of electric field strength in symbols

183 𝐸= 𝐹 𝑄

184 Formula for electric field strength between two parallel plates

185 𝐸= 𝑉 𝑑

186 definition of uniform field

187 Field strength and direction same at all points

188 Work done in moving a charge in an electric field

189 Δ𝑊=𝑄Δ𝑉

190 Equation for field strength for a radial field

191 𝐸= 1 4𝜋 𝜀 0 𝑄 𝑟 2

192 Equation for electric potential

193 𝑉= 1 4𝜋 𝜀 0 𝑄 𝑟

194 Equation relating electric field strength and electric potential

195 𝐸= ∆𝑉 ∆𝑟

196 Equation for electric potential energy at a point in a radial field

197 𝐸 𝑝 = 1 4𝜋 𝜀 𝑄 1 𝑄 2 𝑟

198 Equation relating capacitance, charge, and voltage

199 𝐶= 𝑄 𝑉

200 Equation relating capacitance to area of plates, separation of plates, and permittivity of dielectric

201 𝐶= 𝐴 𝜀 0 𝜀 𝑟 𝑑

202 Energy stored in a capacitor

203 𝐸= 1 2 𝑄𝑉 𝐸= 1 2 𝐶 𝑉 2 𝐸= 𝑄 2 𝐶

204 Equations describing discharging a capacitor

205 𝑄= 𝑄 0 𝑒 − 𝑡 𝑅𝐶 𝑉= 𝑉 0 𝑒 − 𝑡 𝑅𝐶 𝐼= 𝐼 0 𝑒 − 𝑡 𝑅𝐶

206 Equations describing charging up a capacitor

207 𝑄= 𝑄 0 (1−𝑒 − 𝑡 𝑅𝐶 ) 𝑉= 𝑉 0 (1−𝑒 − 𝑡 𝑅𝐶 ) 𝐼= 𝐼 0 𝑒 − 𝑡 𝑅𝐶

208 Word definition of the time constant for a resistor-capacitor (RC) circuit

209 Time taken for the charge or potential difference or current to fall to 1/e of its original value for a discharging capacitor

210 Equation for calculating time constant for a discharging capacitor

211 𝜏= 𝑅𝐶

212 Time taken for a capacitor to discharge 99% of its charge or current or potential difference

213 5 time constants

214 Equations defining relative permittivity

215 𝜀 𝑟 = 𝐶 𝐶 0 = 𝑄 𝑄 0 = 𝜀 1 𝜀 0


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