<h2>
Answer:</h2>
1.3736
<h2>
Explanation:</h2>
The velocity (v) of a wave is given by the product of the frequency (f) and the wavelength (λ) of the wave; i.e
v = fλ ------------------(i)
Now, the slope of 1/λ vs f implies that;
1/λ is on the vertical axis;
f is on the horizontal axis;
such that the slope s will be given as;
s = 1/λ ÷ f
s = (1/λ) x (1/f)
s = 1/(fλ) -----------------------(ii)
<em>Since v = fλ from equation (i), substitute this into equation (ii) as follows;</em>
s = 1 / v -------------------------(iii)
From the question, s = slope = 0.728
<em>Substitute this value of s into equation (iii) as follows;</em>
0.728 = 1 / v
<em>Solve for v;</em>
v = 1 / 0.728
v = 1.3736
Therefore, the wave velocity is 1.3736
