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Properties of Matter question

2010 · Shift 2 · Q40
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Properties of Matter question

2010 · Shift 2 · Q40

JEE AdvancedPhysicsProperties of MatterMCQ+3 / −0.75
When liquid medicine of density ρ\rhoρ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When the force becomes smaller than the weight of the drop, the drop gets detached from the dropper. If the radius of the opening of the dropper is rrr, the vertical force due to the surface tension on the drop of radius R (assuming rrr << R) is
  1. A
    2πrT2\pi rT2πrT
  2. B
    2πRT2\pi RT2πRT
  3. C
    2πr2TR{{2\pi {r^2}T} \over R}R2πr2T​
  4. D
    2πR2Tr{{2\pi {R^2}T} \over r}r2πR2T​
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