Question

A circular hole of diameter 2.00 cm is made in an aluminium plate at 0°C. What will be the diameter at 100°C? α for aluminium = 2.3 × 10–5 °C–1.

Answer 1

$\huge{\boxed{\mathfrak\pink{\fcolorbox{red}{purple}{Mr\:Awesome}}}}$

❤.option C is correct

Answer 2

Answer:

The diameter at   100°C   will be 2.0046 cm

Explanation:

Given:  

$d_1$= 2 cm = $2 \times 10^{-2}$  m

$t_1$= 0° C ,  

$t_1$ is initial temperature  

$t_2$ = 100° C  

$t_2$  is final temperature  

$\alpha_{al}$ = $2.3 \times 10{-5 }/ {\circ}_C$

Solution:

$d_{2}=d_{1}(1+\alpha \Delta t)$

$=2 \times 10^{-2}\left(1+2.3 \times 10^{-5} \times 10^{2}\right)$

$=2 \times 10^{-2}\left(1+2.3 \times 10^{-3}\right)$

$=2 \times 10^{-2}(1.0023)$

$=2.0046 \times 10^{-2}$

$\begin{aligned}&=0.020046 \mathrm{m}\\&=2.0046 \mathrm{cm}\end{aligned}$