Question

An iron railway line is 50 m long. By how much will its length increases if its temperature is raised
75 °C? The co-efficient of linear expansion of iron is 1.25 x 10-5 °C-1​

Answer 1

Answer:

15m

Explanation:

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Answer 2

Answer:

The length is increased be 0.047 m

Explanation:

• When heat is supplied to an object, then expansion can be occurred to the object. The area or volume or length can be expanded.
• Length expansion: Due to heat if length of an object is increased then it is called length expansion.
• Formula: If L = initial length, ΔT = change in temperature,

        α = coefficient of linear expansion and L' = New expanded length

       Then the formula is: L' = L(1 + αΔT)

• Calculation: Given data- L = 50 m, ΔT = 75°C, α = $1.25\times10^{-5}$per °C

Putting all the values in above equation, L' = 50[ 1 + ( $1.25\times10^{-5}$×75)

                                                                        = 50{1+ (93.75 × $10^{-5}$)

                                                                        = 50 × 1.00094

                                                                        = 50.047 m

 The increased length is 50.047 m.

  The length is increased be L' - L = 50.047 - 50 = 0.047 m.

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