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NEET 2016
Exam
NEET
Year
2016
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2016 · Physics · Mechanical Properties of Fluids

A rectangular film of liquid is extended from ( 4cm × 2cm ) to (...

A rectangular film of liquid is extended from (4cm×2cm)( 4cm \times 2cm ) to (5cm×4cm)( 5cm \times 4cm ). If the work done is 3×10−4J3 \times {10}^{- 4}J, the value of the surface tension of the liquid is

Options

  1. A0.250Nm−10.250N{m}^{- 1}
  2. B0.125Nm−10.125N{m}^{- 1}
  3. C0.2Nm−10.2N{m}^{- 1}
  4. D8.0Nm−18.0N{m}^{- 1}

Correct answer

B. 0.125Nm−10.125N{m}^{- 1}

Step-by-step solution

W=2(Af−Ai)TW = 2\left({A}_{f} - {A}_{i}\right)T

⇒T=W(Af−Ai)×2⇒ T = \dfrac{W}{\left({A}_{f} - {A}_{i}\right) \times 2}

=3×10−4J2[5×4×10−4−4×2×10−4]= \dfrac{3 \times {10}^{- 4}J}{2\left[5 \times 4 \times {10}^{- 4} - 4 \times 2 \times {10}^{- 4}\right]}

=0.125Nm−1= 0.125N{m}^{- 1}
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