v=√P/S check correctness of given equation
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If according to your question, V= velocity , P= momentum, s = density .
Then, By principle of Homogeneity,
Dimension of V = Dimension of Underroot P /S
[ L^3] = [ ML T ^-1] ^ 1/2 / [ M L^-3]
[ L^3] = [LT ^ - 3] ^1/2
So, LHS is not equal to RHS.
Hence, Equation is incorrect.
Then, By principle of Homogeneity,
Dimension of V = Dimension of Underroot P /S
[ L^3] = [ ML T ^-1] ^ 1/2 / [ M L^-3]
[ L^3] = [LT ^ - 3] ^1/2
So, LHS is not equal to RHS.
Hence, Equation is incorrect.
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