Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A large drop of oil (density $0.8 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta_{\mathrm{L}}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:
PhysicsMechanical Properties of FluidsBITSATBITSAT 2012
Options:
  • A $\eta_{0}$ only
  • B $\eta_{L}$ only
  • C both on $\eta_{0}$ and $\eta_{\mathrm{L}}$
  • D neither $\eta_{0}$ nor $\eta_{L}$
Solution:
1150 Upvotes Verified Answer
The correct answer is: $\eta_{L}$ only
Forces of viscosity arise in a fluid when different sections of the fluid move with different velocities. Here, there is no such motion inside the oil drop and hence the viscosity of oil does not come into play.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.