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A large amount of energy E is suddenly released in the air as in a point of explosion. Experimental evidence suggests the radiusr of the high-pressure blast wave depends on time t as well as the energy E and ρ the density of the ambient air.

(a) Using the Buckingham method, find the equation for r as a function of t, ρ, and E.

(b) Show that the speed of the wave front decreases as r increases.

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