A sheet of steel is 40 cm long and 5 cm broad at 0. The surface area of the sheet increases by 1.4 cm² at 100. Coefficient of linear expansion of steel is (a) 1.9 × 10⁻⁵/ (b) 2.4 × 10⁻⁵/ (c) 3.5 × 10⁻⁵/ (d) 7 × 10⁻⁵/

Answer: (c). A = 40 × 5 = 200 cm², β = 2α. Δ A = A(2α)Δ T ⇒ 1.4 = 200 × 2α × 100 α = (1.4)/(40000) = 3.5×10⁻⁵/, answer (c).

A sheet of steel is 40 cm long and 5 cm broad at 0. The surface area… | MHT CET 2024 (15 May, Shift 1)

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Thermometry & Thermal Expansion

A sheet of steel is 40 cm long and 5 cm broad at $0^\circ\text{C}$ . The surface area of the sheet increases by $1.4\text{ cm}^2$ at $100^\circ\text{C}$ . Coefficient of linear expansion of steel is

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Answer: (c)

$A = 40 \times 5 = 200\text{ cm}^2$ , $\beta = 2\alpha$ .
$\Delta A = A(2\alpha)\Delta T \Rightarrow 1.4 = 200 \times 2\alpha \times 100$
$\alpha = \dfrac{1.4}{40000} = 3.5\times10^{-5}/^\circ\text{C}$ , answer (c).

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Thermometry & Thermal Expansion question from MHT CET 2024 (15 May, Shift 1)

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