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Properties of Matter question

2021 · Q157
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Properties of Matter question

2021 · Q157

NEETPhysicsProperties of MatterMCQ+4 / −1
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{d \over 2}2d​, then the viscous force acting on the ball will be :
  1. A
    2Mg
  2. B
    Mg2{{Mg} \over 2}2Mg​
  3. C
    Mg
  4. D
    32{{3} \over 2}23​Mg
View written solutionFree

Correct answer: B

Let Fv be the viscous force and FB be the Bouyant force acting on the ball.

NEET 2021 Physics - Properties of Matter Question 17 English Explanation


Then, when body moves with constant velocity

Mg = FB + Fv        [a = 0]

Fv = Mg – FB

= dVg−d2VgdVg - {d \over 2}VgdVg−2d​Vg  (Mg = dVg)   V = volume of ball.

= d2Vg{d \over 2}Vg2d​Vg

⇒\Rightarrow⇒ Fv = Mg2{{Mg} \over 2}2Mg​

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