Dimensional Analysis | A Level Physics Question

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The speed v of a liquid leaving a tube depends on the change in pressure and the density of the liquid.

The speed is given by the equation:

v = k(P/rho)^n

where k is a constant that has no units.

What is the value of n?

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Can we find the value of k? Cause I just found this question which ask rather we can find value of k or not

ikramaniq
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Please I still don't get how n = 1/2

mamuzo