If a ball of steel

Question:

If a ball of steel (density $\rho=7.8 \mathrm{~g} \mathrm{~cm}^{-3}$ ) attains a terminal velocity of $10 \mathrm{~cm} \mathrm{~s}^{-1}$ when falling in a tank of water (coefficient of viscosity $\eta_{\text {water }}=8.5 \times 10^{-4} \mathrm{~Pa}$.s) then its terminal velocity in glycerine ( $\rho=1.2 \mathrm{~g} \mathrm{~cm}^{-3}, \eta=13.2$ Pa.s) would be nearly :-

  1. $1.6 \times 10^{-5} \mathrm{~cm} \mathrm{~s}^{-1}$

  2. $6.25 \times 10^{-4} \mathrm{~cm} \mathrm{~s}^{-1}$

  3. $6.45 \times 10^{-4} \mathrm{~cm} \mathrm{~s}^{-1}$

  4. $1.5 \times 10^{-5} \mathrm{~cm} \mathrm{~s}^{-1}$


Correct Option: , 2

Solution:

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