Question

2) Calculate the coefficient of linear expansion for a steel rod of length
250m when heated at a temperature of 500 degree celsius increases by
1.5m in length​

Answer 1

Given :

Original length = 250m

Change in temperature = 500°C

Change in length = 1.5m

To Find :

Coefficient of linear expansion.

Solution :

❖ Formula of coefficient of linear expansion is given by, α = ∆L / L∆T

» α denotes coefficient of linear expansion

» ∆L denotes change in length

» L denotes original length

» ∆T denotes change in temperature

By substituting the given values;

➙ α = ∆L/L∆T

➙ α = 1.5/(250)(500)

➙ α = 0.000012

➙ α = 1.2 × 10‾⁵ °C‾¹

Knowledge BoosteR :

• The three coefficients of expansion α, β and $\gamma$ are not constant for a given solid. Their values depend on the temperature range.
• For most of the solids, the value of α lies between 10‾⁶ to 10‾⁵ K‾¹ in the temperature range 0 to 100°C. The value of α is more for ionic solids than that for non-ionic solids.
• The coefficient of linear expansion of a solid rod is independent of the geometrical shape of its cross-section.

Answer 2

$\huge\colorbox{yellow}{Áηѕωєя࿐❤}$

Given :

Original length = 250m

Change in temperature = 500°C

Change in length = 1.5m

To Find :

Coefficient of linear expansion.

Solution :

❖ Formula of coefficient of linear expansion is given by, α = ∆L / L∆T

» α denotes coefficient of linear expansion

» ∆L denotes change in length

» L denotes original length

» ∆T denotes change in temperature

By substituting the given values;

➙ α = ∆L/L∆T

➙ α = 1.5/(250)(500)

➙ α = 0.000012

➙ α = 1.2 × 10‾⁵ °C‾¹

Hope it helps :)