A spherical solid ball of volume V is made of material of density ρ 1 . It is falling…

Chemistry · NEET · NTA ExamsStructure of Atom

A spherical solid ball of volume V is made of material of density ρ1. It is falling through a liquid of density ρ2 2 < ρ1). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., Fviscous = \(\text { — }\)kv2 (k > 0). The terminal speed of the ball is
  1. \(\sqrt{\frac{V g\left[p_{1}-p_{2}\right]}{k}}\)
  2. \(\frac{V g \rho_{1}}{\mathbf{k}}\)
  3. \(\sqrt{\frac{V g \rho_{1}}{k}}\)
  4. \(\frac{V_{g}\left[p_{1}-p_{2}\right]}{k}\)

Answer

(A) V g [p_ 1 -p_ 2 ] k

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