The velocity v of water waves may depend on their wavelenght (λ), the density of water…

Physics · JEE Main · NTA ExamsPhysics and Measurement

The velocity v of water waves may depend on their wavelenght (λ), the density of water (p) and the acceleration due to gravity(g). The method of dimensions gives the relation between these quantities as
  1. v2 λ–1 p–1
  2. v2 g λ
  3. v2 gλ p
  4. g–1 λ3

Answer

(B) v 2 ∝ g λ

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