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Heat and Thermodynamics question

2025 · 4 Apr · Shift 2 · Q58
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  5. /2025 · 4 Apr · Shift 2 · Q58

Heat and Thermodynamics question

2025 · 4 Apr · Shift 2 · Q58

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1
Consider a rectangular sheet of solid material of length l=9 cml=9 \mathrm{~cm}l=9 cm and width d=4 cm\mathrm{d}=4 \mathrm{~cm}d=4 cm. The coefficient of linear expansion is α=3.1×10−5 K−1\alpha=3.1 \times 10^{-5} \mathrm{~K}^{-1}α=3.1×10−5 K−1 at room temperature and one atmospheric pressure. The mass of sheet m=0.1 kgm=0.1 \mathrm{~kg}m=0.1 kg and the specific heat capacity Cv=900 J kg−1 K−1C_{\mathrm{v}}=900 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}Cv​=900 J kg−1 K−1. If the amount of heat supplied to the material is 8.1×102 J8.1 \times 10^2 \mathrm{~J}8.1×102 J then change in area of the rectangular sheet is :
  1. A
    2.0×10−6 m22.0 \times 10^{-6} \mathrm{~m}^22.0×10−6 m2
  2. B
    6.0×10−7 m26.0 \times 10^{-7} \mathrm{~m}^26.0×10−7 m2
  3. C
    3.0×10−7 m23.0 \times 10^{-7} \mathrm{~m}^23.0×10−7 m2
  4. D
    4.0×10−7 m24.0 \times 10^{-7} \mathrm{~m}^24.0×10−7 m2
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