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Exam
NEET
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Physics
Chapter
Mechanical Properties of Fluids

NEET · Physics · Mechanical Properties of Fluids

A thin solid square plate is placed gently on a liquid surface. The...

A thin solid square plate is placed gently on a liquid surface. The excess force required to lift the plate away from the surface is 12 mN12\text{ mN}. If the surface tension of the liquid is 0.06 N m−10.06\text{ N m}^{-1}, the side length of the square plate is

Options

  1. A2.5 cm2.5\text{ cm}
  2. B10 cm10\text{ cm}
  3. C0.05 cm0.05\text{ cm}
  4. D5 cm5\text{ cm}

Correct answer

D. 5 cm5\text{ cm}

Step-by-step solution

For a solid square plate, only the outer perimeter is in contact with the liquid surface.

Total effective length of contact, Leff=4aL_{\text{eff}} = 4a, where aa is the side length of the plate.

Excess force required, F=T×Leff=T×4aF = T \times L_{\text{eff}} = T \times 4a

12×10−3=0.06×4a12 \times 10^{-3} = 0.06 \times 4a

4a=12×10−30.06=0.2 m4a = \dfrac{12 \times 10^{-3}}{0.06} = 0.2\text{ m}

a=0.05 m=5 cma = 0.05\text{ m} = 5\text{ cm}

Answer: 5 cm5\text{ cm}
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