Question

6. What is the change in temperature of a metal rod that is 55.0 cm long, decreases length by 0.20 cm, and that has a coefficient of linear expansion of 12 x 10-6 /C?

Answer 1

Step-by-step explanation:

We have,

Length of a metal rod is 55 cm or 0.55 m

Change in length is 0.2 cm or 0.002 m

It is required to find the change in temperature of a metal rod. The coefficient of linear expansion is given by :

`\alpha =(\Delta L)/(L_0\Delta T)`

`\Delta T` is the change in temperature

`\Delta T =(\Delta L)/(L_0\alpha )\\\\\Delta T =(0.002)/(0.55* 12* 10^(-6))\\\\\Delta T= 303.03^(\circ) C`

So, the change in temperature is 303.03 degrees Celsius.