14.1 DESCRIBING WAVES Presented by: MR. RYAN C. CABRERA Bachelor of Science in Physics Post Baccalaureate in Teacher Education Master in Educational Management PARTS, CHARACTERISTICS and PROPERTIES OF A WAVE ▪ Crest – highest point of a wave. ▪ Trough – lowest point of a wave. ▪ Amplitude – height of the crest or trough. – height of the wave. ▪ Wavelength ( λ ) – distance between two successive crests or troughs. – is represented by greek letter lambda (λ ). ▪ Period ( T ) – number of seconds for one vibration. – time that elapses between passing crests or troughs. – in equation, T = λ / V or T = 1 / f ▪ Frequency ( f ) – number of vibrations per second and measured in Hz (hertz). – is the number of crests (∩) or troughs (U) that pass by per unit time. – it is equal to the inverse of the period. – in equation, f = 1 / T ▪ Wave Speed ( V ) – rate at which the crests or troughs move forward. – in equation, V = λ / T and V = λ f PULSE WAVE VS. PERIODIC WAVE Pulse wave – single wave Periodic Wave – repetition of pulse wave SAME WAVELENGTH BUT DIFFERENT AMPLITUDE SAME WAVELENGTH BUT DIFFERENT AMPLITUDE (Answer) Crest to Crest Crest to Crest Crest to Crest SAME WAVELENGTH BUT DIFFERENT AMPLITUDE SAME WAVELENGTH BUT DIFFERENT AMPLITUDE (Answer) λ λ SAME AMPLITUDE BUT DIFFERENT FREQUENCY SAME AMPLITUDE BUT DIFFERENT FREQUENCY (Answer) SAME AMPLITUDE BUT DIFFERENT FREQUENCY SAME AMPLITUDE BUT DIFFERENT FREQUENCY (Answer) A = 6 cm A = 6 cm LESS frequency MORE frequency LOW ENERGY WAVE VS. HIGH ENERGY WAVE λ Less frequency λ High frequency LOW ENERGY WAVE VS. HIGH ENERGY WAVE HIGHER Amplitude LOWER Amplitude 14.2 WAVE SPEED, FREQUENCY AND WAVELENGTH Presented by: MR. RYAN C. CABRERA Bachelor of Science in Physics Post Baccalaureate in Teacher Education Master in Educational Management SYMBOL DESCRIPTION T Period f Frequency FORMULA and UNIT 1 T= f s (second) Hz (Hertz), c/s (cycles per second) , 1/s v 1 f = f = T v Wave Speed m/s (meters per second) v= λ Wavelength m (meter) v = f • T = v •T v = f PROBLEM SOLVING WAVE SPEED FREQUECNY AND WAVELENGTH Problem # 1 A student observes some ripples in a ripple tank. She notes that 20 waves occupy a distance of 4.5 cm. What is their wavelength? 0.23 cm Solution: Problem # 1 A student observes some ripples in a ripple tank. She notes that 20 waves occupy a distance of 4.5 cm. What is their wavelength? Solution: distance λ= # of waves 4.5 cm λ= 20 waves 𝛌 = 𝟎. 𝟐𝟑 𝐜𝐦 0.23 cm Solution: Problem # 2 Calculate the speed of sound in air if a sound of frequency 180 Hz has a wavelength of 1.833 m. 329.94 m/s Solution: Problem # 2 Calculate the speed of sound in air if a sound of frequency 180 Hz has a wavelength of 1.833 m. 329.94 m/s V=λ∙f V = 1.833 m 180 Hz 180 𝑠 V = 1.833 m 𝐕 = 𝟑𝟐𝟗. 𝟗𝟒 𝐦 𝐬 Solution: Problem # 3 Sound has a speed of 1500 m/s in water. Calculate the wavelength of sound waves of frequency 420 Hz in water. 3.57 m Solution: Problem # 3 Sound has a speed of 1500 m/s in water. Calculate the wavelength of sound waves of frequency 420 Hz in water. 3.57 m λ= λ= λ= V f m 1500 s 420 Hz m 1500 s 420 s 𝛌 = 𝟑. 𝟓𝟕 𝐦 Solution: Problem # 4 A Red light of wavelength 6.50 x 10−7 meters travels through air, where its speed is 3.0 x 10 8 m/s. a. What is its frequency? 4.62 x 10 14 Hz Problem # 4 A Red light of wavelength 6.50 x 10−7 meters travels through air, where its speed is 3.0 x 10 8 m/s. a. What is its frequency? 4.62 x 10 14 Hz Solution: f= V λ f= m 8 3 x 10 s 6.5 x 10 −7 m 𝐟 = 𝟒. 𝟔𝟐 𝐱 𝟏𝟒 𝟏𝟎 𝐇𝐳 Problem # 4 B Red light of wavelength 6.50 x 10−7 meters travels through air, where its speed is 3.0 x 10 8 m/s. b. What will its wavelength become in glass, where its speed is 2.1 x 108 m/s? 4.55 x 10 −7 m Solution: Problem # 4 B Red light of wavelength 6.50 x 10−7 meters travels through air, where its speed is 3.0 x 10 8 m/s. b. What will its wavelength become in glass, where its speed is 2.1 x 108 m/s? 4.55 x 10 −7 m Solution: λ= V f λ= m 8 2.1 x 10 s 4.62 x 10 14 Hz λ= m 8 2.1 x 10 s 4.62 x 10 14 s 𝛌 = 𝟒. 𝟓𝟓 𝒙 𝟏𝟎−𝟕 𝐦 Problem # 5 Ultrasound waves are sometimes used to clean small items of jewellery, which are immersed in water and subjected to ultrasound. What is the wavelength of ultrasound waves of frequency 45 kHz in water? Give your answer in cm. (Speed of ultrasound in water = 1500 m/s.) 3.33 cm Solution: Problem # 5 Ultrasound waves are sometimes used to clean small items of jewellery, which are immersed in water and subjected to ultrasound. What is the wavelength of ultrasound waves of frequency 45 kHz in water? Give your answer in cm. (Speed of ultrasound in water = 1500 m/s.) 3.33 cm Solution: λ= λ= λ= V f m 1500 s 45 000 Hz cm 150 000 s 45 000 s 𝛌 = 𝟑. 𝟑𝟑 𝐜𝐦 14.3 EXPLAINING WAVE PHENOMENA Presented by: MR. RYAN C. CABRERA Bachelor of Science in Physics Post Baccalaureate in Teacher Education Master in Educational Management PROPERTIES OF WAVES A. B. C. D. REFLECTION REFRACTION DIFFRACTION INTERFERENCE REFLECTION Bouncing off waves on a surface. TYPES OF REFLECTION A. SPECULAR REFLECTION B. DIFFUSED REFLECTION A. SPECULAR REFLECTION θi = θr (angle of incidence is EQUAL to angle of reflection) Incident rays strikes a SMOOTH SURFACE wherein the reflected rays goes to only ONE DIRECTION. B. DIFFUSED REFLECTION θi ≠ θr (angle of incidence is NOT EQUAL to angle of reflection) Incident rays strikes a ROUGH SURFACE wherein the reflected rays goes to DIFFERENT DIRECTIONS. REFRACTION BENDING OF WAVES as it pass through from one medium into another medium. CHANGING DIRECTION because of a change in speed. DIFFRACTION Bending of waves around the edges or corners of a barrier. small openings – produce great diffractions large openings – produce less diffractions SMALL OPENING VS. LARGE OPENING INTERFERENCE MEETING OF TWO OR MORE WAVES that produces different points of intersection. Two types a. Constructive interference b. Destructive Interference CONSTRUCTIVE INTERFERENCE Occurs when the crest or trough of the first wave MEET the crest or trough of the second wave. DESTRUCTIVE INTERFERENCE Occurs when the crest or trough of the first wave DO NOT MEET the crest or trough of the second wave. CONSTRUCTIVE INTERFERENCE DESTRUCTIVE INTERFERENCE CONSTRUCTIVE INTERFERENCE DESTRUCTIVE INTERFERENCE