PYQ Vault
EbooksTutor

Linear expansion: increase in length or coefficient from Delta L = L alpha Delta T

This type of question, asked 4 times: 2 May 2023 S1, 11 May 2023 S1, 11 May 2023 S2, 10 May 2024 S2. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2 May 2023 S1

    25
    Railway track is made of steel segments separated by small gaps to allow for linear expansion. The segment of track is 10 m long when laid at temperature 17∘17^\circC. The maximum temperature that can be reached is 45∘45^\circC. Increase in length of the segment of railway track is x×10−5x \times 10^{-5} m. The value of xx is αsteel=1.2×10−5 ∘C−1\alpha_{\text{steel}} = 1.2 \times 10^{-5}\,^\circ\text{C}^{-1}

    Tap an option to check your answer.

  2. Question 2

    11 May 2023 S1

    42
    Rails of material of steel are laid with gaps to allow for thermal expansion. Each track is 10 m long, when laid at temperature 17∘17^\circC. The maximum temperature that can be reached is 45∘45^\circC. The gap to be kept between the two segments of railway track is αsteel=1.3×10−5/∘\alpha_{steel} = 1.3 \times 10^{-5}/^\circC

    Tap an option to check your answer.

  3. Question 3

    11 May 2023 S2

    38
    A metal rod having coefficient of linear expansion 2×10−5/°C2\times10^{-5}/°C is 0.75 m long at 45°C45°C. When the temperature rises to 65°C65°C, the increase in length of the rod will be

    Tap an option to check your answer.

  4. Question 4

    10 May 2024 S2

    1
    A metal rod 2 m long increases in length by 1.6 mm, when heated from 0∘C0^\circ C to 60∘C60^\circ C. The coefficient of linear expansion of metal rod is

    Tap an option to check your answer.