the velocity V of water waves may depend on their wavelength lemda density of water p and the acceleration due to gravity g find out relation between these quantity by dimension methode
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To find:
Relationship between velocity of water wave, wavelength, density and acceleration due to gravity by dimensional analysis.
Calculation:
Let Velocity be related as follows:
Comparing both sides, we get :
Solving these equations, we get:
Putting these values:
[Here "k" is dimension-less constant]
So, final answer is:
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