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AP EAMCET201822 Apr 2018Morning ShiftPhysicsMechanical Properties of FluidsActual

A body is suspended by a light string. The tensions in the string when the body is in air, when the body is totally immersed in water and when the body is totally immersed in a liquid are respectively 40.2 ~N , 28.4 ~N and 16.6 ~N . The density of the liquid is

Options

  1. A1200 ~kg - m ^ - 3
  2. B1600 ~kg - m ⁻³
  3. C2000 ~kg - m ⁻³
  4. D2400 ~kg - m ⁻³

Correct answer

C. 2000 ~kg - m ⁻³

Step-by-step solution

Density of water-Density of air T_ water -T_ air Density of liquid-Density of water T_ liquid -T_ water Now, from given values, T_ water -T_ air =T_ liquid -T_ water Air density =1 ~kg / m ^3 and water density =1000 ~kg / m ^3 So, liquid density 2000 ~kg / m ^3

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