A travelling wave of amplitude 0.80 m has a frequency of 16 Hz and a wave speed of 20 \(ms-1\)
Calculate the wave number of the wave.
3
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2
Explanation
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Discussions (14)
To calculate the wave number (k), we can use the formula:
Wave number (k) = 2π × frequency (f) / wave speed (v)
Given values:
f = 16 Hz
v = 20 m/s
Now, let's plug in the values:
k = 2π × 16 Hz / 20 m/s
= 2 × 3.14 × 16 / 20
= 5.03
Rounding to the nearest whole number, we get:
k ≈ 5
The correct answer is:
C. 5
Using v = w / k
But w = 2πf = 100.53
k = w / v = 100.53 / 20 ≈ 5
Correct Answer: Option C
This question sweet me ahaa
wave number is k = 2π/n
take n as wavelength
v = fn
v = velocity
f = frequency
20 = 16n
divide both side by coefficient of n
which is 16
1.25 = n
recall wave number formula
k = 2π/n
k = 2 * 3.142/1.25
5.0✅
