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Linear expansion: new length or diameter after heating

This type of question, asked 3 times: 29 Jun 2022, 24 Jan 2023, 21 Jan 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    29 Jun 2022

    92
    At what temperature a gold ring of diameter 6.230 cmcm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm6.241\text{ }cm ? Both the diameters have been measured at room temperature (27∘C)\left( 27^{\circ}C \right). (Given: coefficient of linear thermal expansion of gold αL=1.4×10−5 K−1\alpha_{L}= 1.4 \times10^{- 5}{\text{ }K}^{- 1} )

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  2. Question 2

    24 Jan 2023

    28
    A hole is drilled in a metal sheet. At 27∘C27^{\circ}C, the diameter of hole is 5 cm5\text{ }cm. When the sheet is heated to 177∘C177^{\circ}C, the change in the diameter of hole is d×10−3 cmd \times10^{- 3}\text{ }cm. The value of dd will be __if coefficient of linear expansion of the metal is 1.6×10−5/ ∘C1.6 \times10^{- 5}/\ ^{\circ}C

  3. Question 3

    21 Jan 2026 S1

    15
    An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30∘C30^{\circ}C. The coefficient of linear expansion of aluminium and steel are 24×10−6/ ∘C24 \times 10^{- 6}/\ ^{\circ}C and 1.2×10−5/ ∘C1.2 \times 10^{- 5}/\ ^{\circ}C, respectively. The length of this composite rod when its temperature is raised to 100∘C100^{\circ}C, is ____\_\_\_\_ cm.

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