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

  • A
    $1.6 \times 10^{-5} \; cm \cdot s^{-1}$
  • B
    $6.25 \times 10^{-4} \; cm \cdot s^{-1}$
  • C
    $6.45 \times 10^{-4} \; cm \cdot s^{-1}$
  • D
    $1.5 \times 10^{-5} \; cm \cdot s^{-1}$

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