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In the experiment for measurement of viscosity '\(\eta\)' of given liquid with a ball having radius '\(R\)', consider fo…

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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:

[JEE Main 2025, 28 Jan (Shift 1)]

a

C, D and E only

b

B, D and E only

c

A, B and E only

d

A, C and D only

✓ Correct answer: d)

A, C and D only

Explanation

\(\sigma =\) Density of ball

\({V}_{T}=\frac{2{R}^{2}}{2\eta }(\sigma -\rho )g\\ {V}_{T}\propto {R}^{2}\)


As temperature changes Co-efficient of viscosity changes.

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