Solveeit Logo

Question

Question: A small metal ball of diameter 4 mm and density 10.5 g/cm<sup>3</sup> is dropped in glycerine of den...

A small metal ball of diameter 4 mm and density 10.5 g/cm3 is dropped in glycerine of density 1.5 g/cm3. The ball attains a terminal velocity of 8 cm/s, the coefficient of viscosity of glycerine is –

A

4.9 poise

B

9.8 poise

C

98 poise

D

980 poise

Answer

9.8 poise

Explanation

Solution

vT=29r2gη(dbde)v_{T} = \frac{2}{9}\frac{r^{2}g}{\eta}(d_{b} - d_{e}) Ž η=2r2g9v(dbde)\eta = \frac{2r^{2}g}{9v}(d_{b} - d_{e})

= 2×0.2×0.2×9×9809×8\frac{2 \times 0.2 \times 0.2 \times 9 \times 980}{9 \times 8} = 9.8 poise