Physics
Assertion (A) : A loaded ship is submerged more while an unloaded ship is less submerged.
Reason (R) : A loaded ship displaces more water in comparison to an unloaded ship in order to float.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false
Fluids Upthrust
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Answer
both A and R are true and R is the correct explanation of A
Explanation
Assertion (A) is true because a loaded ship has more weight, so it sinks deeper to displace more water for buoyancy but an unloaded ship is lighter and floats higher.
Reason (R) is true because according to Archimedes’ principle, the volume of water displaced equals the weight of the ship. So, a heavier (loaded) ship must displace more water to float. So here Reason justifies the Assertion.
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Related Questions
Assertion (A) : A bucket filled with water is heavier till it is immersed in water in well.
Reason (R) : The effect of upthrust is that the weight of body immersed in liquid appears to be lighter than its actual weight.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false
Assertion (A) : An iron nail sinks in water, but floats in mercury.
Reason (R) : The density of iron is equal to density of mercury but greater than water.
- both A and R are true and R is the correct explanation of A
- both A and R are true and R is not the correct explanation of A
- assertion is false but reason is true
- assertion is true but reason is false
Three solid objects A, B, and C have the same volume but different masses. They are released gently, one by one, into tanks containing three different liquids:
L1 (water), L2 (kerosene) and L3 (corrcentrated salt solution).The observations made are as follows:
- Object A floats in L1 and L3 but sinks in L2.
- Object B sinks in L1, floats fully submerged in L3, and sinks faster in L2.
- Object C floats in all three liquids but with different heights submerged.
Answer the following:
(a) Arrange the liquids in increasing order of density, giving reasons.
(b) Identify the condition of flotation of object B in liquid L3. What inference can be drawn about the densities of the object and liquid?
(c) "As object C floats in all three liquids, the upthrust acting on it is the same in all three cases." Is this statement correct? Explain.
(d) If object A is heated (without any change in mass) and then placed in L1, what change, if any, will occur in its floating level?
(e) Two similar ships made of the same material float in fresh water and sea water respectively. Which ship displaces more water and why?
The figure shows three identical solid cubes P, Q, and R of the same volume and material placed in three different liquids in identical vessels.
Answer the following :
(a) Arrange the liquids in increasing order of density.
(b) Identify the condition of flotation of cube R in liquid B. What information does this give about the densities of cube R and liquid B?
(c) Compare the upthrust acting on cubes P, Q, and R.
(d) If cube P is placed in liquid B, predict whether it will float higher, lower, or remain fully submerged. Give reason.
(e) Which liquid exerts the maximum buoyant force on a cube when it is fully immersed, and why?