A steel bar (E = 200E = 200, α = 12 × 10 − 6/°C) expands by 0.3 mm due to a temperature increase. If the original length of the bar was 15 cm, what was the temperature rise?

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RRB JE ME 22 Apr 2025 Shift 2 CBT 2 Official Paper

Answer 1

Explanation:

Thermal Expansion of a Steel Bar

Thermal expansion refers to the increase in the dimensions of a material when it is subjected to a temperature rise. For a linear material like a steel bar, this expansion can be calculated using the coefficient of linear expansion.

Given Data:

Formula:

The formula for linear expansion is given by:

ΔL = α × L₀ × ΔT

Where:

Calculation:

Rearranging the formula to solve for ΔT:

ΔT = ΔL / (α × L₀)

Substituting the given values:

ΔT = 0.3 / (12 × 10⁻⁶ × 150)

ΔT = 0.3 / (1.8 × 10⁻³)

ΔT = 166.67 °C

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