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Question

Physics Question on Mathematical Methods

A current density for a fluid flow is given by,
j(x,y,z,t)=8et(1+x2+y2+z2)x^\overrightarrow{j} (x,y,z,t) = \frac{8e^t}{ (1+x^2+y^2+z^2)} \hat{x}
At time t = 0, the mass density p(x, y, z, 0) = 1.
Using the equation of continuity, p(1,1,1,1)p(1,1,1,1) is found to be ___________ (Round off to 2 decimal places).

Answer

The correct answer is :2.70 to 2.74 (approx)