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QPages 11-12: Q11: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Pages 11-12: Q11 Solution: An aluminium sphere is dipped into water at 10�C. If the…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often treat the buoyant force as fixed, ignoring that $F_b=\rho_{fluid} V_{disp}\,g$ changes when temperature alters both the fluid density and the object's volume. Remember that water’s volume expansion coefficient is far larger than aluminium’s, so as temperature rises $\rho_{water}$ drops more than $V_{sphere}$ grows, causing $F_b$ to decrease.
An aluminium sphere is dipped into water at 10�C. If the temperature is increased, the force of buoyancy
Multiple Choice Options
- A will increase
- B will decrease
- C will remain constant
- D may increase or decrease depending on the radius of the sphere
Step-by-Step Verified Solution
**Answer:** (b) will decrease.
**Step-by-Step Explanation:**
When temperature increases, water expands, so its density decreases. The buoyant force is F = __water V_sphere g. If the sphere also expands, its volume increases, but the density of water decreases. For an aluminium sphere, the expansion of the sphere is less than the expansion of water (since water's volume expansion coefficient is much larger than aluminium's). Hence, the buoyant force decreases.
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