MCQMediumJEE Main 2025 · 4 April, Shift 2Heat, Temperature & Thermal Expansion

Physics Question from JEE Main 2025 · 4 April, Shift 2

Consider a rectangular sheet of solid material of length ℓ=9 cm\ell = 9 \, \text{cm} and width d=4 cmd = 4 \, \text{cm}. The coefficient of linear expansion is α=3.1×10−5 K−1\alpha = 3.1 \times 10^{-5} \, \text{K}^{-1} at room temperature and one atmospheric pressure. The mass of the sheet is m=0.1 kgm = 0.1 \, \text{kg} and the specific heat capacity Cv=900 J kg−1K−1C_v = 900 \, \text{J kg}^{-1}\text{K}^{-1}. If the amount of heat supplied to the material is 8.1×102 J8.1 \times 10^2 \, \text{J}, then the change in area of the rectangular sheet is:

  • A

    2.0×10−6 m22.0 \times 10^{-6} \, m^2

  • B

    3.0×10−7 m23.0 \times 10^{-7} \, m^2

  • C

    6.0×10−7 m26.0 \times 10^{-7} \, m^2

  • D

    4.0×10−7 m24.0 \times 10^{-7} \, m^2

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