Waves & Wave Properties Sound Waves & Light Waves Problem Solving

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Presentation transcript:

Waves & Wave Properties Sound Waves & Light Waves Problem Solving Unit 07 Waves & Wave Properties Sound Waves & Light Waves Problem Solving

Speed of light = frequency x wavelength REVIEW Wave Speed Equation V=f λ velocity = frequency x wavelength c =f λ Speed of light = frequency x wavelength

v = 340 m/s c = 300,000,000m/s Sound needs a medium to travel Speed of Sound in standard air: Light can travel through a vacuum Speed of Light in a vacuum: v = 340 m/s c = 300,000,000m/s

What is the relationship between speed, frequency and wavelength? The only way to change the speed of the wave is to _______________________. A change in the frequency will change _____________. A change in the wavelength will change ___________. To change the medium wavelength frequency

Easier Problem Solving A guitar emits frequencies that range from a low of about 50Hz to a high of about 3000Hz. Find the range of wavelengths in air attained by this instrument when the speed of sound is air is 340m/s.

Easier Problem Solving A guitar emits frequencies that range from a low of about 50Hz to a high of about 3000Hz. Find the range of wavelengths in air attained by this instrument when the speed of sound is air is 340m/s. V=f λ 340m/s = 50Hz(λ) 6.8m = (λ) V = 340m/s f = 50 Hz λ = ? 50 Hz 50 Hz Range: 0.113m – 6.8m V=f λ 340m/s = 3000Hz(λ) 0.113m = (λ) V = 340m/s f = 3000 Hz λ = ? 3000 Hz 3000 Hz

Mediumier Problem Solving What is the frequency of a red light with a wavelength of 650nm. (remember, the speed of light is 3x108m/s)

Mediumier Problem Solving What is the frequency of a red light with a wavelength of 650nm. (remember, the speed of light is 3x108m/s) c = 300,000,000m/s f = ? λ = 650nm 650nm x 10-9m = 6.50x10-7m (0.000000650m) 1nm c =f λ 300000000m/s = f (6.50x107m) 4.62 x 1014= f 6.50 x10-7 m 6.50 x10-7 m

Mediumier Problem Solving What is the wavelength of the FM radio station “94.5 HJY” --- its frequency is 94.5MHz.

Mediumier Problem Solving What is the wavelength of the FM radio station “94.5 HJY” --- its frequency is 94.5MHz. c = 3x108m/s f = 94.5 MHz λ = ? 94.5MHz x 106Hz = 94.5x106 Hz (or 9.45x107Hz) 1MHz c =f λ 3x108m/s = (94.5x106 Hz) λ 3.17m = λ 94.5 x106 Hz 94.5 x106 Hz

What is the minimum frequency of sound waves required for the bat to detect an insect that would reflect a wavelength of 0.0057m? (Assume the speed of sound is 340m/s). The red light emitted by a He-Ne laser has a wavelength of 633 nm in air and travels at 3.00x108m/s. Find the frequency of the laser light. What is the frequency of a sound wave produced by a flute playing C-note if the wavelength is 21m? What is the wavelength of a radar signal that has a frequency of 33 GHz? The answer should be f = 59649 Hz The answer should be f = 4.74x1019 Hz The answer should be f = 16.2 Hz The answer should be λ= 0.00909m

PRACTICE COMPLETE THE ATTACHED WORKSHEET. PLEASE NOTE: The Period (T) represents the time it takes one point in a wave to travel one wavelength. T=1/f Velocity is the rate of change in an object’s position. V=d/t (with d being the distance travelled)