JEE Main & Advanced
Physics
Mathematical Tools, Units & Dimensions
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Numerical Value type Questions - Physical World, Units & Measurement
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The velocity of water waves (v) may depend on their wave length\[\lambda \], the density of water \[\rho \] and the acceleration due to gravity, g. The method of dimensions gives the relation between these quantities as \[{{v}^{2}}=k{{g}^{x}}{{\lambda }^{x}}.\] The value of x is (Here, k is a constant)