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FINAL review guide

# FINAL review guide - RESONANCE-at certain lengths sound is...

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RESONANCE -at certain lengths, sound is much louder; occurs when frequency of sound and depth of tube have certain fixed ratio -smallest length for resonance: fundamental (¼ of wave fits in tube) -res. Situations occur at ¼, ¾, 5/4, etc. - λ/2 : node to node - air temp goes up, speed of sound increases; molecules increase velocity, can transfer sound quicker) - Speed of S= 331.45 + 0.59T m/s - CO 2 : sound moves slower b/c molecules are bigger; more dense than N 2 and O 2 : 259 + 0.4 T m/s -S of S: λf = v (λ=Hz, SofS = m/s, v=m) WAVES ON A STRING -F c = mv 2 /R = 2T 1y -mass per unit length: m = µL - v = (2TRθ/(µΔL)^½ = (T/µ)^½ - µ = T/v 2 - v = λf - µ = T/d 2 f 2 - µ = mg/λ 2 f 2 - traveling wave : disturbance passes through elastic medium and transmitted from one area to another due to tendency to restore equilibrium situation -material is elastic and friction/air resistance are minimal, then shape of wave is mostly unchanged SPECIFIC HEATS c = Q/mt = cal/gm°C = relation of change in temp to loss or gain of object - m 1 c 1 ΔT 1 = m 2 c 2 ΔT 2 + m 3 c 3 ΔT 3 + m 4 c 4 ΔT 4 1. Unknown 2. Cold water, 3. Inner cup of calorimeter, 4. Stirrer c(cal/gm°C): Aluminum=.215 Copper=.0923 Lead=.031 Tin=.054 Zinc=.0927 Steel=.11 Brass=.094 MICROWAVE OPTICS reflection, angle of incidence, i, = r, angle of reflection -two waves constructively interfere if spacing between transmitter and receiver produce maximum reading on receiver -every subsequent max is exactly half a wavelength further from the transmitter, since max only occur and half wavelength multiples: ΔD = D 1 – D 2 = n(λ/2) -microwaves leaving the transmitter spread out -any wave that is transmitted from a point source will spread out as the wave travels away from the source energy in sphere of 4πR 2 : E/A = kR 2 , k= constant of proportionality -wave is partially polarized if amplitude of wave is larger in one direction than another -microwaves are electromagnetic waves that are all transverse - λ = d(sinθ)/m

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FINAL review guide - RESONANCE-at certain lengths sound is...

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