A brass of length 100m increases to 100.5m, when heated from 50 to calculate it linear expansivity

Answer 1

Linear expansivity (α) is a measure of how much a material expands per unit length when heated.

The equation for linear expansivity is given by:
ΔL = α * L * ΔT

Where:
ΔL = change in length
α = linear expansivity
L = initial length
ΔT = change in temperature

Given:
Initial length (L) = 100 m
Final length (L + ΔL) = 100.5 m
Change in temperature (ΔT) = 50 °C

Substituting the values into the equation, we can solve for α:
ΔL = α * L * ΔT
100.5 m - 100 m = α * 100 m * 50 °C

0.5 m = 5000 α

Simplifying the equation, we find:
α = 0.5 m / 5000
α = 0.0001 m/°C

Therefore, the linear expansivity of the brass is 0.0001 m/°C.