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An object X sinks in liquids P and Q but floats in liquid R. Which of the following conclusions can be made from these observations?
A) Density of X is more than the density of P
B) Density of X is less than the density of R
C) Density of P is equal to the density of R
D) Density of P is less than the density of R
  • a)
    A, B, C
  • b)
    A, B, D
  • c)
    B, C, D
  • d)
    A, C, D
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An object X sinks in liquids P and Q but floats in liquid R. Which of ...
Concept:
Archimedes principle:
  •  It states that a body, when wholly or partially immersed in liquid, experiences an upward thrust that is equal to the volume of the liquid.
  • Archimedes Principle is also known as the physical law of buoyancy.
  • When a solid is fully immersed in a liquid, it loses weight, which is equal to the weight of the liquid it displaces.
Apparent weight= actual weight−buoyant force= mg−ρgV
Where m = mass of the object and ρ = density of the fluid
 
 Buoyant force:
  • ​When a body is wholly or partially immersed in a fluid at rest, the fluid exerts pressure on the surface of the body in contact with the fluid.
  • The pressure is greater on lower surfaces of the body than on the upper surfaces as the pressure in a fluid increases with depth.
  • The resultant of all the forces is an upward force called buoyant force
Explanation:
Law of Floatation:
  • When an object is placed on liquid, an upthrust acts on it.
  • This upthrust is more than weight when the density of the object is less than weight. The object floats in this case.
  • If the density of the object is more, the object will sink as the weight will be more than upthrust.
  • When a body is immersed partially or completely in a fluid (liquid or gas), it experiences an upthrust or buoyant force that is equal to the weight of the fluid displaced by the body.
  • Considering, the question statement:
    • ρ> ρX > ρP
So, from the above relation options A, B, and D are the correct ones.
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Most Upvoted Answer
An object X sinks in liquids P and Q but floats in liquid R. Which of ...
Understanding the Observations
An object X sinking in liquids P and Q but floating in liquid R gives us crucial information about the densities of these substances in relation to object X.
Key Deductions
- Density of X in Relation to P and Q:
Since object X sinks in both liquid P and liquid Q, this indicates that the density of X is greater than the densities of both liquids. Thus:
- Density of X > Density of P
- Density of X > Density of Q
- Density of X in Relation to R:
The fact that object X floats in liquid R suggests that the density of X is less than the density of liquid R:
- Density of X < density="" of="" />
Conclusion
From the above deductions, we can summarize the relationships as follows:
- A) Density of X is more than the density of P: True
- B) Density of X is less than the density of R: True
- C) Density of P is equal to the density of R: Not necessarily true
- D) Density of P is less than the density of R: This cannot be confirmed solely based on the given information.
Final Answer
Thus, the only valid conclusions we can draw from the observations are statements A and B. Therefore, the correct answer is option 'B', which includes the relationships about the density of X being greater than P and less than R.
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An object X sinks in liquids P and Q but floats in liquid R. Which of the following conclusions can be made from these observations?A) Density of X is more than the density of PB) Density of X is less than the density of RC) Density of P is equal to the density of RD) Density of P is less than the density of Ra)A, B, Cb)A, B, Dc)B, C, Dd)A, C, DCorrect answer is option 'B'. Can you explain this answer?
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An object X sinks in liquids P and Q but floats in liquid R. Which of the following conclusions can be made from these observations?A) Density of X is more than the density of PB) Density of X is less than the density of RC) Density of P is equal to the density of RD) Density of P is less than the density of Ra)A, B, Cb)A, B, Dc)B, C, Dd)A, C, DCorrect answer is option 'B'. Can you explain this answer? for EmSAT Achieve 2025 is part of EmSAT Achieve preparation. The Question and answers have been prepared according to the EmSAT Achieve exam syllabus. Information about An object X sinks in liquids P and Q but floats in liquid R. Which of the following conclusions can be made from these observations?A) Density of X is more than the density of PB) Density of X is less than the density of RC) Density of P is equal to the density of RD) Density of P is less than the density of Ra)A, B, Cb)A, B, Dc)B, C, Dd)A, C, DCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for EmSAT Achieve 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object X sinks in liquids P and Q but floats in liquid R. Which of the following conclusions can be made from these observations?A) Density of X is more than the density of PB) Density of X is less than the density of RC) Density of P is equal to the density of RD) Density of P is less than the density of Ra)A, B, Cb)A, B, Dc)B, C, Dd)A, C, DCorrect answer is option 'B'. Can you explain this answer?.
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