Q136 / 160 · TS EAMCET 2021 (05 Aug Shift 1) · Physics

A metal sheet 4 m on a side and of negligible thickness is attached to a balance and inserted into container fluid. The balance to which metal sheet is attached reads 0.50 N and the contact angle is found to be zero. A small amount of oil is then spread over the metal sheet. The contact angle now becomes 180° and the balance now reads 0.49 N. The surface tension of the fluid is
Figure

  • Correct answer
    A
    6.25×10-3 N m-1
  • B
    1.25×10-1  N m-1
  • C
    4.25×10-2  N m-1
  • D
    0.1  N m-1

Solution

Figure

In the first case, when the contact angle is zero, the liquid will apply a force on the metal sheet in the downwards direction.

Net force equation can be written as 0.50=mg+T4×2    ....1

When the oil is applied on the metal sheet, the contact angle becomes 180° and in this case the force due to surface tension is in upwards direction. Net force equation can be written as 0.49=mg-T4×2    ....2

From 1-2, we get 16T=0.01⇒T=6.25×10-3 N/m

Hence, the correct answer is option: 'A'.

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