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#area expansion

2 public questions tagged with this topic.

Fluid Pressure, Pascal's Law and Manometers

Which of the following correctly relates the coefficients of linear and area expansion?

The coefficient of area expansion is approximately twice the coefficient of linear expansion (ΔA/A≈2αlΔT), as area involves two dimensions. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Area coefficient is twice the linear coefficient. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: University Physics, Chapter 17: Thermal Expansion.

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Temperature Scales and Triple Point

A silver sheet has an area of 1.5m2 at 20∘C. What is the increase in area when heated to 120∘C? (αl\=1.9×10−5K−1)

Given: A0 = 1.5m2, ΔT = 120−20 = 100∘C, αl = 1.9×10−5K−1. ΔA = A0×2αlΔT = 1.5×2×1.9×10−5×100 = 0.0057m2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 0.0057 m². This satisfies dimensional consistency and physical conditions given, so option D is scientifically correct.

Ref: NCERT Class 11 Physics, Chapter 11: Thermal Properties – Calorimetry.

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