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An object of mass m , weighs m 1 in a liquid of density d 1 and it weighs m 2 in a liquid of density d 2 . The density d of the object is

Options

  1. Ad = m 2 d 2 - m 1 d 1 m 2 - m 1  
  2. Bd = m 1 d 1 - m 2 d 2 m 2 - m 1
  3. Cd = m 2 d 1 - m 1 d 2 m 1 - m 2
  4. Dd = m 1 d 2 - m 2 d 1 m 1 - m 2

Correct answer

D. d = m 1 d 2 - m 2 d 1 m 1 - m 2

Step-by-step solution

V d - d 1 g = m 1 g V d - d 2 g = m 2 g d - d 1 d - d 2 = m 1 m 2 ∴   d = m 1 d 2 - m 2 d 1 m 1 - m 2

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