JEE Mains · Physics · STD 11 - Fluid mechanics
- JEE Mains 2026
- Hard
- MCQ
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)
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(\frac{2 \Delta r }{ r }+\frac{\Delta v _0}{ v _0}\)
Step-by-step Solution
Detailed explanation
\(v _0=\frac{2}{9} \frac{ r ^2 g}{ n }\left(\rho_{ B }-\rho_{ L }\right)\)
\(n =\frac{2}{9} \frac{ r ^2 g}{ v _0}\left(\rho_{ B }-\rho_{ L }\right)\)
\(\frac{\Delta n }{ Il }=\frac{2 \Delta r }{ r }+\frac{\Delta v _0}{ v _0}\)
\(n =\frac{2}{9} \frac{ r ^2 g}{ v _0}\left(\rho_{ B }-\rho_{ L }\right)\)
\(\frac{\Delta n }{ Il }=\frac{2 \Delta r }{ r }+\frac{\Delta v _0}{ v _0}\)
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