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If a solid X floats in liquids P of relative density 2.0 and in liquid...

Physics
JAMB 1994

If a solid X floats in liquids P of relative density 2.0 and in liquid Q of relative density 1.5, it can be inferred that the

  • A. weight of P displaced is greater than that of Q
  • B. weight of P displaced is less than that of Q
  • C. volume of P displaced is greater than that of Q
  • D. volume of P displaced is less than that of Q
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Correct Answer: Option A
Explanation

R.d \(\alpha\) weight of liquid displaced

\(\frac{\text {R.d of P}}{\text {R.d of Q}}\) = \(\frac{\text{weight of p displaced}}{\text{weight of Q displaced}}\)

\(\frac{2}{1.5}\) = \(\frac{\text {weight of p displaced}}{\text {weight of Q displaced}}\)

 

A solid floats when the weight of the liquid it displaces is equal to the weight of the solid.

The relative density indicates that liquid P is denser than liquid Q.

Conclusion: Since liquid P is denser, for the same volume of the solid X displaced, the weight of the liquid displaced will be greater in liquid P than in liquid Q.


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