Bottle Stability – Rankers Physics

Calculation of Center of Mass: Practice Problem & Solution

Assertion (A): A half filled bottle is more stable than a fully filled identical bottle when kept in upright position. Reason (R): A half filled bottle has lesser mass than a fully filled bottle. (The fluid and bottles are identical).  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
(A) is true and (R) is false

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Calculation of Center of Mass. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is false because a fully-filled bottle has a lower center of gravity and lacks the destabilizing sloshing effect of a partially-filled bottle.

Reason (R) is true as a half-filled bottle naturally contains less mass

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