Question

plz help me with this question

derive an equations for velocity of water wave if it depends upon the wavelength ( l ) density of water ( d ) and accelertion due to gravity
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Answer 1

Answer:

ANSWER

Dimension of Velocity is LT

−1

Dimension of wavelength λ is L

Dimension of acceleration due to gravity g is LT

−2

Dimension of Density of water ρ is ML

−3

Let v∝λ

a

g

b

ρ

c

Using Dimensional method:

a+b−3c=1 ( Length )

c=0 ( Mass )

−2b=−1 ( Time )

b=0.5

Hence, a=0.5

∴v∝

gλ

v

2

∝gλ

Answer 2

Explanation:

v=√lamda ^3*gravity/density