JEE Advanced 2016Paper 1
- Exam
- JEE Advanced
- Year
- 2016
- Paper
- Paper 1
- Subject
- Physics
- Chapter
- Mechanical Properties of Fluids
JEE Advanced 2016 · Paper 1 · Physics · Mechanical Properties of Fluids
Consider two solid spheres P and Q each of density 8 gm c m ^ - 3...
Consider two solid spheres P and Q each of density 8 gm and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density 0.8 gm and viscosity poiseulles. Sphere Q is dropped into a liquid of density 1.6 gm and viscosity poiseulles. the ratio of the terminal velocities of P and Q is.
Correct answer
3
Step-by-step solution
{V}_{T} ∝ \dfrac{{r}^{2}\left[{d}_{m} - {d}_{L}\right]}{n}\dfrac{{V}_{TP}}{{V}_{TQ}} = {\left(\dfrac{{r}_{P}}{{r}_{Q}}\right)}^{2} \times \dfrac{{n}_{{L}_{2}}}{{n}_{{L}_{1}}} \times \left[\dfrac{{d}_{m} - {d}_{{L}_{1}}}{{d}_{m} - {d}_{{L}_{2}}}\right]
^{2} \times \dfrac{2}{3} \times \left[\dfrac{8 - 0.8}{8 - 1.6}\right]\dfrac{{V}_{TP}}{{V}_{TQ}} = 3
^{2} \times \dfrac{2}{3} \times \left[\dfrac{8 - 0.8}{8 - 1.6}\right]\dfrac{{V}_{TP}}{{V}_{TQ}} = 3