The amplitude is one half of the peak to Question 30a peak value. 1.5 m (ANS) Use v = f × λ to get f = Question 33b f = f = 45,333 The wavelength is the length from any spot f = 4.5 × 104 Hz (ANS) on the waveform to the next identical spot. Therefore 14 m represents two wavelengths. 12 m (ANS) Question 30b Question 33c Use v = f × λ to get There are two crests every 15 seconds. f = T = 7.5 f = Use f = f = 20 Hz (ANS) f = The answer in the back of the book has f = 0.13 Hz (ANS) incorrect units. Question 33d Question 30c T = 7.5 s (ANS) Use v = f × λ to get f = Question 33e f = Use v = f × λ, f = 5.5 × 1014 Hz (ANS) v = 0.13 × 12 v = 1.6 m s-1 (ANS) Alternatively Question 31 Use v = , v = A common transverse wave that moves v = 1.6 m s-1 (ANS) energy around is radiation from the Sun. The energy is carried on the EM radiation from the Sun and when it is (partially) absorbed Question 34 by objects on the Earth, the objects warm Use v = f × λ, where λ = 5 m. up through increased kinetic motion of the 343 = f × 5 atoms in the object. f = 68.6 f = 69 Hz (ANS) Question 32 Sound is the most common occurrence of longitudinal waves. The dulcet tones from the speaker in your classroom cause Question 35 pressure variations which travel through the The addition of these two waves is given by the air at vector addition of the points on the two curves. 340 m s-1. These pressure variations cause the eardrum to move which transmits this to the brain, where it is interpreted as sound. Question 33a
Question 30a Use v = f × λ to get f = f = f = 45,333 f = 4.5 × 104 Hz (ANS) Question 30b Use v = f × λ to get f = f = f = 20 Hz (ANS) The answer in the back of the book has incorrect units. Question 30c Use v = f × λ to get f = f = f = 5.5 × 1014 Hz (ANS) Question 31 A common transverse wave that moves energy around is radiation from the Sun. The energy is carried on the EM radiation from the Sun and when it is (partially) absorbed by objects on the Earth, the objects warm up through increased kinetic motion of the atoms in the object. Question 32 Sound is the most common occurrence of longitudinal waves. The dulcet tones from the speaker in your classroom cause pressure variations which travel through the air at 340 m s-1. These pressure variations cause the eardrum to move which transmits this to the brain, where it is interpreted as sound. Question 33a The amplitude is one half of the peak to peak value. 1.5 m (ANS) Question 33b The wavelength is the length from any spot on the waveform to the next identical spot. Therefore 14 m represents two wavelengths. 12 m (ANS) Question 33c There are two crests every 15 seconds. T = 7.5 Use f = f = f = 0.13 Hz (ANS) Question 33d T = 7.5 s (ANS) Question 33e Use v = f × λ, v = 0.13 × 12 v = 1.6 m s-1 (ANS) Alternatively Use v = , v = v = 1.6 m s-1 (ANS) Question 34 Use v = f × λ, where λ = 5 m. 343 = f × 5 f = 68.6 f = 69 Hz (ANS) Question 35 The addition of these two waves is given by the vector addition of the points on the two curves.