Question

1. A silver rod of length 1 m expands by
1.8 mm when heated by 100°C What is its
coefficient of linear expansion?​

physics -

help me ​

Answer 1

Answer:

Explanation:Coefficient of volume expansion of the silver rod is 5. 7 × 10−5/∘C. Hence Option A is the right answer.

Answer 2

Length of the rod,

• $\sf{l=1\ m}$

Expansion in the rod,

• $\sf{\Delta l=1.8\times10^{-3}\ m}$

The temperature difference,

• $\sf{\Delta\!T=100\ K}$

[Note that $\sf{^oC}$ and $\sf{K}$ are treated as same in case of temperature difference.]

Then the coefficient of linear expansion is given by,

$\sf{\longrightarrow \Delta l=l\alpha\,\Delta\!T}$

$\sf{\longrightarrow \alpha=\dfrac{\Delta l}{l\,\Delta\!T}}$

$\sf{\longrightarrow \alpha=\dfrac{1.8\times10^{-3}}{1\times100}}$

$\sf{\longrightarrow\underline{\underline{\alpha=1.8\times10^{-5}\ K^{-1}}}}$