In the experiment for measurement of viscosity ' η ' of given liquid… | JEE Main 2025 (28 Jan, Shift 1)

Q20JEE Main 2025 · 28 JAN · SHIFT 1Medium

Terminal Velocity

In the experiment for measurement of viscosity ' $\eta$ ' of given liquid with a ball having radius $R$ , consider following statements.

A. Graph between terminal velocity V and R will be a parabola.

B. The terminal velocities of different diameter balls are constant for a given liquid. C. Measurement of terminal velocity is dependent on the temperature.

D. This experiment can be utilized to assess the density of a given liquid.

E. If balls are dropped with some initial speed, the value of $\eta$ will change.

Choose the correct answer from the options given below:

Show answer and solution

Answer: (c)

$v_t = \dfrac{2R^2(\sigma - \rho)g}{9\eta}$ , so $v_t \propto R^2$ .
A: $v_t$ vs $R$ is a parabola. True.
B: $v_t$ changes with diameter ( $\propto R^2$ ). False.
C: $\eta$ depends on temperature, so $v_t$ does too. True. D: $v_t$ depends on liquid density $\rho$ , so $\rho$ can be found. True.
E: $\eta$ is a property of the liquid; the initial speed of the ball does not change it. False.
So the answer is (c) A, C and D only.

Report a mistake

Terminal Velocity question from JEE Main 2025 (28 Jan, Shift 1)

More questions on Terminal Velocity