Question

A copper rod is 0.450 m long. Heat is added to the rod until it expands by 0.00130 m. How much did the temperature change? (Unit=C)

Answer 1

Correct Answer:

`170^(\circ) C`

Answer 2

`170^(\circ) C`

Step-by-step explanation:

Using the constants of copper as provided in the attached figure

We know that the change in length

`\triangle L= L\triangle T \alpha`

Where
`\triangle l` is the change in length, L is the original length,
`\triangle T` is the change in temperature and
`\alpha` is a constant already given (attached)

Making
`\triangle T` the subject then

`\triangle T=\frac {\triangle L}{L \alpha}`

By substitution

`\triangle T=\frac {0.00130 m}{0.450 m * 17* 10^(-6)}=169.9346405 ^(\circ) C\approx 170^(\circ) C`