A spherical body of radius and density falls freely through a viscous liquid having density and viscosity and attains a terminal velocity . Estimated maximum error in the quantity is : (Ignore errors ...

A spherical body of radius r and density sigma falls freely : null (Physics) | DivineJEE

JEE Mains 2026 21st January Shift 2

Physics

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

\mathrm{v}_{0}

. Estimated maximum error in the quantity

\eta

is : (Ignore errors associated with

\sigma, \rho

and g , gravitational acceleration)

2 \frac{\Delta r}{r}-\frac{\Delta v_{0}}{v_{0}}

\frac{2 \Delta r}{r}+\frac{\Delta v_{0}}{v_{0}}

2\left[\frac{\Delta \mathrm{r}}{\mathrm{r}}+\frac{\Delta \mathrm{v}_{0}}{\mathrm{v}_{0}}\right]

2\left[\frac{\Delta \mathrm{r}}{\mathrm{r}}-\frac{\Delta \mathrm{v}_{0}}{\mathrm{v}_{0}}\right]

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