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A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2
A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2 m. What is the speed of the wave?
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Q1
A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2 m. What is the speed of the wave?
1000 m/s
250 m/s
500 m/s
2000 m/s
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The speed of a wave is given by the formula v = fλ, where f is the frequency and λ is the wavelength. Here, v = 500 Hz * 2 m = 1000 m/s.
Questions & Step-by-step Solutions
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Q: A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2 m. What is the speed of the wave?
Solution:
The speed of a wave is given by the formula v = fλ, where f is the frequency and λ is the wavelength. Here, v = 500 Hz * 2 m = 1000 m/s.
Steps: 6
Show Steps
Step 1: Identify the formula for wave speed, which is v = fλ.
Step 2: Understand that 'v' is the speed of the wave, 'f' is the frequency, and 'λ' is the wavelength.
Step 3: Substitute the given values into the formula. Here, f = 500 Hz and λ = 2 m.
Step 4: Calculate the speed by multiplying the frequency and the wavelength: v = 500 Hz * 2 m.
Step 5: Perform the multiplication: 500 * 2 = 1000.
Step 6: Conclude that the speed of the wave is 1000 m/s.
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