Question

A metal rod length 3 m expands by 1 cm when heated through 200 degrees Celsius. Find the linear expansion of coefficient of the metal​

Answer 1

refer to the attachment

Answer 2

$length \: = 3m \: = 300 \: cm \\ increase \: in \: length \: ∆l \: = 1.0cm \\ coefficient \: of \: linear \: expansion \: or \: \: (\alpha) \: = \frac{∆l}{l \times∆t } \\ = \frac{1}{300 \times 200 } \\ \sf\implies \frac{1}{6 \times {10}^{ 4} } \\ \sf\implies.166 \times {10}^{ - 4} degree \: celcius \: or \: 1 .66 \times {10}^{ - 5}$