Consider the following equation of Bernouilli’s theorem.
$P + \frac{1}{2} \rho V^{2} + \rho gh = K$ (constant)
The dimensions of K/P are same as that of which of the following
Text Solution
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$\mathrm{P} + \frac{1}{2} \rho v^{2} + \rho g h = \mathrm{K} \text{ (constant)}$ So, according to principle of homogeneity, Dimensions of $\mathrm{K} = $ Dimensions of $\mathrm{P}$ $\therefore \frac{\mathrm{K}}{\mathrm{P}}$ will be dimensionless, Thus, dimensions of $\frac{\mathrm{K}}{\mathrm{P}}$ will be same as that of angle (because angle is also dimensionless quantity).
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