Question

please tell answer with full explanation as i know correct answer is *(d)*
please don't write unnecessarily if you don't know how to solve​

Answer 1

Answer:

D

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=  1/2,

α=  1/2

​  

Hence, α=γ  $\neq$β

Answer 2

Answer:

Answer:

D

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= 1/2,

α= 1/2

Hence, α=γ ≠β

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