AIIMS2018Physics-Properties of Fluids

AIIMS 2018 Physics Surface Tension MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A needle of length l m and mass m kg is placed horizontally on water surface having surface tension T. Find T in terms of m, l (g is acceleration due to gravity)

A

T=mg2lT = \frac{mg}{2l}

B

T=mglT = \frac{mg}{l}

C

T=3mg2lT = \frac{3mg}{2l}

D

T=m2lT = \frac{m}{2l}

Correct Answer

Option A

Detailed Explanation

When a needle of length ll m and mass mm kg is placed horizontally on the surface of water (H₂O), it experiences an upward force due to surface tension TT. The total upward force from the surface tension acting along the length of the needle is 2Tl2Tl (since surface tension acts along both sides), which must balance the weight of the needle mgmg for it to float. Therefore, setting these forces equal gives us the equation 2Tl=mg2Tl = mg, leading to T=mg2lT = \frac{mg}{2l}. The other options are not applicable as they do not provide relevant or correct expressions for surface tension in this context.

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