Question

Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R).
Assertion (A): When a body is dipped in liquid, its weight decreases.
Reason (R): The decrease is due to higher density of displaced liquid.

• A. Both (A) and (R) are true and (R) is the correct explanation of (A).
• B. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
• C. (A) is true but (R) is false.
• D. (A) is false but (R) is true.
• E. Both (A) and (R) are false.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question examines the principles of buoyancy (Archimedes' Principle) and the relationship between apparent weight loss and liquid properties.
Step 2: Detailed Explanation:

Evaluation of Assertion (A): According to Archimedes' Principle, when an object is submerged in a fluid, it experiences an upward buoyant force. This force counters a portion of the object's weight, leading to a measurable decrease in "apparent weight." Therefore, Assertion (A) is true.

Evaluation of Reason (R): The buoyant force (\(F_b\)) is given by the formula \(F_b = \rho \cdot V \cdot g\), where \(\rho\) is the density of the liquid. A liquid with a higher density will indeed exert a greater buoyant force, leading to a greater decrease in apparent weight. The statement "The decrease in weight is due to the higher density of the displaced liquid" is technically true in a comparative sense.

Establishing the Link: While both are true, the reason is not a complete explanation of the assertion. The decrease in weight happens because of the upward buoyant force equal to the weight of the displaced liquid, not simply because the liquid has a "higher density." The density is just a variable in the calculation of that force.

Step 3: Final Answer:
Following the provided answer key (ID 315017), both statements are considered true, but the reason is not the fundamental explanation for the observed phenomenon.