Verified Solution • 2025–26 Session moderate

QNEET-2021-Ph-606: NEET 2021 Physics - Class 11 NEET-2021-Ph-606 Solution: The velocity of a small ball of mass M and density d when…

The velocity of a small ball of mass M and density d when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is d2\frac{d}{2} then the viscous force acting on the ball will be: 2Mg 2Mg2Mg MgMg 32Mg\frac{3}{2}Mg

Multiple Choice Options

  • A 2Mg
  • B Mg2{{Mg} \over 2} 2 M g _
  • C Mg
  • D 32{{3} \over 2} 2 3 _ Mg

Step-by-Step Verified Solution

Let F v be the viscous force and F B be the Bouyant force acting on the ball. Then, when body moves with constant velocity Mg = F B + F v         [a = 0] F v = Mg � F B = d V g _ d 2 V g   (Mg = dVg)   V = volume of ball. = d 2 V g _ F v = M g 2

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