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Coefficient of linear expansion from an area or volume increase

This type of question, asked 3 times: 15 May 2023 S1, 12 May 2024 S2, 25 Apr 2025 S2. All 3 questions below, oldest first.

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  1. Question 1

    15 May 2023 S1

    42
    A sheet of steel is 40 cm long and 5 cm broad at 0∘C0^{\circ}\text{C}. The surface area of the sheet increases by 1.4 cm21.4\,\text{cm}^{2} at 100∘C100^{\circ}\text{C}. Coefficient of linear expansion of steel is

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  2. Question 2

    12 May 2024 S2

    17
    The volume of a metal block increases by 0.225% when its temperature is increased by 30°C30°C. Hence the coefficient of linear expansion of the material of metal block is

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  3. Question 3

    25 Apr 2025 S2

    28
    The volume of a metal sphere increases by 0.33%0.33\% when its temperature is raised by 50∘C50^{\circ}C. The coefficient of linear expansion of the metal is

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