In the experiment for measurement of viscosity ' η ' of given liquid with a ball having radius R , consider following statements. A. Graph between terminal velocity V and R will be a parabol

Question

In the experiment for measurement of viscosity ' $η$ ' 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 $η$ will change.
Choose the correct answer from the options given below:

TestHub · Accepted Answer

The terminal velocity of ball of radius $R$ inside a liquid of viscosity $η$ can be written as $V_{T} = \frac{2 R ^{2} g}{n} (σ - ρ)$ , where $σ$ is the density of ball and $δ$ is the density of the liquid.
Hence,
$A$ is correct since $V_{T} \propto R^{2}$ gives a parabola on a graph
$C$ is correct since $V_{T} α \frac{1}{η}$ and $η$ varies with temperature
$D$ is correct since $V_{T} α (σ - ρ)$ i.e., varies with density of liquid.

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