thermal expansion solid and liquid questions with solutions

Showing 1–5 of 5 questions

• NumericeasyThermodyanmicsthermal expansion solid and liquid

  A hole is drilled in a metal sheet. At 27°C, the diameter of hole is 5 cm. When the sheet is heated to 177°C, the change in the diameter of hole is d × 10⁻³ cm. The value of d will be _______ if coefficient of linear expansion of the metal is 1.6 × 10⁻⁵/°C.

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• MCQmediumThermodyanmicsthermal expansion solid and liquid

  A rectangular sheet has length 9 cm, width 4 cm, coefficient of linear expansion α = 3.1×10⁻⁵ K⁻¹, mass 0.1 kg and specific heat capacity 900 J kg⁻¹ K⁻¹. If 8.1×10² J of heat is supplied, the increase in its area is:

  Options

  • Option A

    3.0×10⁻⁷ m²

  • Option B

    2.0×10⁻⁶ m²

  • Option C

    4.0×10⁻⁷ m²

  • Option D

    6.0×10⁻⁷ m²

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• MCQmediumThermodyanmicsthermal expansion solid and liquid

  A metal strip has coefficient of linear expansion α. Its temperature is first increased from T₁ to T₂, causing its length to increase by ΔL₁. It is then heated from T₂ to T₃, causing an additional increase ΔL₂. Given T₃+T₁ = 2T₂ and T₂-T₁ = ΔT, which expression gives ΔL₂ according to the finite-step expansion treatment used in the source solution?

  Options

  • Option A

    ΔL₁[1+2α²(ΔT)²]

  • Option B

    ΔL₁[1+α²(ΔT)²]

  • Option C

    ΔL₁[1+2αΔT]

  • Option D

    ΔL₁[1+αΔT]

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• MCQeasyThermodyanmicsthermal expansion solid and liquid

  An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30°C. The coefficient of linear expansion of aluminium and steel are 24 × 10⁻⁶ °C⁻¹ and 1.2 × 10⁻⁵ °C⁻¹, respectively. The length of this composite rod when its temperature is raised to 100°C, is _____ cm.

  Options

  • Option A

    120.20

  • Option B

    120.15

  • Option C

    120.03

  • Option D

    120.06

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• MCQeasyThermodyanmicsthermal expansion solid and liquid

  A brass wire of length 2m and radius 1mm at 27°C is held taut between two rigid supports. Initially it was cooled to a temperature of -43°C creating a tension T in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to 1.4T, is ____°C

  Options

  • Option A

    -86

  • Option B

    -71

  • Option C

    -65

  • Option D

    -80

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