MHT CET202122 Sep 2021Evening ShiftPhysicsMechanical Properties of FluidsActual
If the terminal speed of a sphere A [density _A=7.5 ~kg ~m ⁻³ ] is 0.4 ~ms ⁻¹ , in a viscous liquid [density _ L =1.5 ~kg ~m ⁻³ ], the terminal speed of sphere B [density _B=3 ~kg ~m ⁻³ ] of the same size in the same liquid is
Options
- A0.3 ~ms ⁻¹
- B0.1 ~ms ⁻¹
- C0.2 ~ms ⁻¹
- D0.04 ~ms ⁻¹
Correct answer
B. 0.1 ~ms ⁻¹
Step-by-step solution
Terminal speed is given by aligned & V = 2 9 r ^2 ( - _ L ) & V _ A V _ B = _ A - _ L _ B - _ L = 7.5-1.5 3-1.5 = 6 1.5 =4 & V _ B = V _ A 4 = 0.4 4 =0.1 ~ms ⁻¹ aligned