A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosit…

Question

A spherical body of radius $$r$$ and density $$\sigma$$ falls freely through a viscous liquid having density $$\rho$$ and viscosity $$\eta$$ and attains a terminal velocity $$v_0$$. Estimated maximum error in the quantity $$\eta$$ is : (Ignore errors associated with $$\sigma$$, $$\rho$$ and $$g$$, gravitational acceleration)

Accepted Answer

C. $$\frac{2 \Delta r}{r} + \frac{\Delta v_0}{v_0}$$

Answer

A. $$2 \left[ \frac{\Delta r}{r} - \frac{\Delta v_0}{v_0} \right]$$

Answer

B. $$2 \left[ \frac{\Delta r}{r} + \frac{\Delta v_0}{v_0} \right]$$

Answer

D. $$2 \frac{\Delta r}{r} - \frac{\Delta v_0}{v_0}$$

Answer & step-by-step solution

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