The speed of gravity waves in water is proportional to 20 PB gº where
2 is the wavelength, p is the density of water and g is acceleration due to
gravity. Which of the following relations is correct?
(A) a = B = Y
(B) a B * Y
(C) & # Y = B
(D) a = Y # B
Answers
Answered by
0
Answer:
hey mate
Explanation:
Dimensions of:
Velocity of waves =[LT
−1
]
Wavelength =[L]
Density =[ML
−3
]
g=[LT
−2
]
v=[λ
α
ρ
β
g
γ
]
[(LT
−1
)]=[(L)
α
(ML
−3
)
β
(LT
−2
)
γ
]
[LT
−1
]=[L
α−3β+γ
M
β
T
−2γ
]
on equating the powers we get,
β=0,
γ=
2
1
,
α=
2
1
Hence, α=γ
=β
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