3) This question requires that you think about the symbols we use not as standing for numbers, but for physical quantities. This is extremely important since we often use the same symbol to mean wildly different physical quantities, and sometimes specific units as well. You have to decide what the symbol stands for from context. In the following table are listed several examples of symbols that we have used for a variety of different physical concepts, next to a list of physical concepts they could be used for. In a few cases, we even have units that reuse the same letters as our physical quantity symbols; some of these units have been included in the physical concepts list as well. Every equation in the equations list, and every dimensional expression in the dimensionality list, corresponds to at least one physical concept. Match each physical concept with the equation/s and dimensional expression that correspond to it. You might use an equation or dimension more than once. For items in the physical concept list that are units, you only need to match them to their correct dimensional expression. Symbol Physical concept or unit Equation/s used Dimensions T Period IE| = 1 19 [T]=T Tension 7-2 [A] = ~ U = qV Focal length kq A =_ T Frequency V = r E=_ ML A QT2 E Electric field C= 4nkd [k] = M Energy T2 AV = IR [V] = ML2 k Spring constant n = Vvacuum QTZ Wave number Vmedium [A] = L2 Coulomb's constant P = IV [n ] = none 1 1 1 -+ [C] = Q272 V Electric potential S ML2 Potential difference ML E = hf T2 volts [A = L f= ; A Area [E] = ML2 T2 Amplitude Amperes T = 2n L = = ML2 Index of refraction QT Number of antinodes [A] = L [C] = Q Capacitance k = [k] = ML 3 Coulombs Q 2 TZ F = -kAx n L=-1 2 y(x,t) = Acos(kxtot + 4)