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JEE Main 202528 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
28 January
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2025 · 28 January · Morning Shift · Physics · Mechanical Properties of Fluids

In the experiment for measurement of viscosity ' ' of given liquid...

In the experiment for measurement of viscosity ' η\eta ' of given liquid with a ball having radius RR, 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\eta will change. Choose the correct answer from the options given below:

Options

  1. AA,B{ }_{} \mathrm{A}, \mathrm{B} and E Only
  2. BB, D and E Only
  3. C{ }^{} A, C and D Only
  4. DC, D and E Only

Correct answer

C. { }^{} A, C and D Only

Step-by-step solution

The terminal velocity of ball of radius RR inside a liquid of viscosity η\eta can be written as VT=2R2gn(σ−ρ)V_T=\frac{2 R^2 g}{n}(\sigma-\rho), where σ\sigma is the density of ball and δ\delta is the density of the liquid. Hence, AA is correct since VT∝R2V_T \propto R^2 gives a parabola on a graph CC is correct since VTα1ηV_T \alpha \frac{1}{\eta} and η\eta varies with temperature DD is correct since VTα(σ−ρ)V_T \alpha(\sigma-\rho) i.e., varies with density of liquid.
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