Physics Circle home Student Login

Home›Chapters›Viscosity PYQs›Terminal Velocity›Question 15

NEET 2026 (Re-neet) · Terminal Velocity

Terminal Velocity question from NEET 2026 (Re-neet)

Q15NEET 2026 · RE-NEETMedium

Terminal Velocity

In the measurement of viscosity of liquids using terminal velocity experiment, spherical balls of same radius but having different densities are used. The variation of the terminal velocity ( vv) with the ratio of density of spherical ball ( σ\sigma) to density of the liquid ( ρ\rho ), is best represented by:

Show answer and solution

Answer: (b)

10σ/ρvv ∝ (σ/ρ − 1)
  1. Terminal velocity: v=2r2(σ−ρ)g9η=2r2ρg9η(σρ−1)v = \dfrac{2r^2(\sigma - \rho)g}{9\eta} = \dfrac{2r^2\rho g}{9\eta}\left(\dfrac{\sigma}{\rho} - 1\right).
  2. For the same radius and liquid, vv is a linear function of σ/ρ\sigma/\rho.
  3. v=0v = 0 at σ/ρ=1\sigma/\rho = 1 and vv rises as a straight line for σ/ρ>1\sigma/\rho > 1 (the ball sinks).
  4. So the answer is (b): a straight line starting from zero at σ/ρ=1\sigma/\rho = 1.
Report a mistake

More questions on Terminal Velocity