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MHT CET 2024 (3 May, Shift 2) · Terminal Velocity

Terminal Velocity question from MHT CET 2024 (3 May, Shift 2)

Q22MHT CET 2024 · 3 MAY · SHIFT 2Easy

Terminal Velocity

A steel ball of radius 6 mm has a terminal speed of 12 cms−112\text{ cms}^{-1} in a viscous liquid. What will be the terminal speed of a steel ball of radius 3 mm in the same liquid?

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Answer: (d)

  1. Terminal speed v∝r2v \propto r^2 for the same material and liquid.
  2. v2=12(36)2=124v_2 = 12\left(\frac{3}{6}\right)^2 = \frac{12}{4}
  3. v2=3 cm s−1v_2 = 3\text{ cm s}^{-1}
  4. So the answer is (d) 3 cms−13\text{ cms}^{-1}.
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