A longitudinal wave of wavelength 1 cm travels in air with a speed of 330 m/s. Calculate the frequency of the wave. Can this wave be heard by a normal human?
Answers
Answer:
33 KHz;. This cannot be heard by a normal human being.
Explanation:
λ = 1cm = 0.01 m
V = 330m/s
V = f × λ
or, f = V/λ
or, f = 330/0.01 Hz
or, f = 33000 Hz
or, f = 33 KHz
The frequency is 33KHz, and it cannot be heard by humans.
We are given a longitudinal wave of wavelength 1 cm travels in air with a speed of 330 m/s.
The question wants us to find out the frequency of the wave. A wave is associated with its frequency , velocity and wavelength. All are interdependent, and any missing value can be calculated.
The relationship between frequency and wavelength is of an indirect variation. Greater wavelengths result in lower frequencies, and vice versa.
So we have the formula
v = f λ where,
f= frequency
λ= wavelength
V= velocity
So, we have the below steps to reach our answer
Step 1) v=330m/s in SI units
Step 2) λ= 1cm = 0.01 m in SI units
Step 3) So, f = 330÷0.01 = 33KHz
Step 4) Between 20 Hz and 20 kHz in frequency, humans are capable of hearing noises. So 33KHz will not be heard by humans.
So the frequency is 33KHz, and it cannot be heard by humans.
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