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Solution


Q.

In the experiment for measurement of viscosity ‘η’ of given liquid with a ball having radius R, consider following statements.   [2025]

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:
1 B, D and E only  
2 A, C and D only  
3 C, D and E only  
4 A, B and E only  

Ans.

(2)

The terminal velocity of a ball of radius R inside a liquid of viscosity η can be written as VT=2R2gη(σ-ρ), where σ is the density of the ball and ρ is the density of the liquid.

Hence,

A is correct since VT∝R2 gives a parabola on a graph.

C is correct since VT∝1η and η varies with temperature.

D is correct since VT∝(σ-ρ), i.e., varies with density of liquid.