Question:

In the experiment for measurement of viscosity \( \eta \) of a 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.

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Understanding the physical principles behind measurements can help clarify which variables influence the results in experimental setups.
Updated On: Feb 4, 2025
  • \(B\), \(D\) and \(E\) Only
  • \(C\), \(D\) and \(E\) Only
  • \(A\), \(B\) and \(E\) Only
  • \(A\), \(C\) and \(D\) Only
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The Correct Option is B

Solution and Explanation

Analyze each statement. 
A: Incorrect, as the graph is not a parabola but rather a more complex function of radius and viscosity. 
B: Incorrect, as terminal velocity varies with ball size and density. 
C: Correct, as viscosity and terminal velocity are temperature-dependent. 
D: Correct, as variations in terminal velocity can reflect differences in liquid density. 
E: Correct, as the initial speed affects the drag force and settling time, influencing the measured viscosity.

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