Physics · Mechanical Properties of Matter

NEET (UG) 2024 — Question 28

A thin flat circular disc of radius 4.5 cm is placed gently over the surface of water. If surface tension of water is 0.07 N m−10.07 \mathrm{~N} \mathrm{~m}^{-1}, then the excess force required to take it away from the surface is

  1. Option A:

    19.8 mN19.8\,\mathrm{mN}

    Correct
  2. Option B:

    198 N

  3. Option C:

    1.98 mN

  4. Option D:

    99 N

Answer: A

Step-by-step solution

The excess force required to overcome surface tension is the force along the circumference of the disc. Formula: F=T×2πRF = T \times 2\pi R. Given: T=0.07 N m−1T = 0.07\,\mathrm{N\,m^{-1}}, R=4.5 cm=0.045 mR = 4.5\,\mathrm{cm} = 0.045\,\mathrm{m}. Substitute: F=0.07×2×3.14×0.045F = 0.07 \times 2 \times 3.14 \times 0.045. Calculate: 2×3.14×0.045=0.28262 \times 3.14 \times 0.045 = 0.2826, then 0.07×0.2826=0.019782 N0.07 \times 0.2826 = 0.019782\,\mathrm{N}. Convert to mN: 0.019782 N=19.782 mN≈19.8 mN0.019782\,\mathrm{N} = 19.782\,\mathrm{mN} \approx 19.8\,\mathrm{mN}. Thus the required excess force is 19.8 mN19.8\,\mathrm{mN}.

Solution figure

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2024
Subject
Physics
Chapter
Mechanical Properties of Matter
Topic
Surface Tension and Surface Energy
A thin flat circular disc of radius 4.5 cm is placed gently over the… | NEET (UG) 2024 PYQ with Solution · DhiX AI