Question

the radius of metal sphere is 100cm at 0°c and 101cm at 100°c the coefficient of volume expansion of metal​

Answer 1

Explanation:

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From formula...

$\boxed{ l_1 = l_0 + l_0 \times \alpha \times \Delta T} \\ \\ Where \\ \\ l_1 = final \: \: length \\ \\ l_0 = initial \: \: length \\ \\ \Delta T= Change \: in \: temperature \\ \\ So, \: directly \: substituting \: values.... \\ \\ \implies 101 = 100+ 100 \times (\alpha) \times (100 - 0) \\ \\ \implies 101 - 100 = 100 \times \alpha \times (100) \\ \\ \implies 1 = 10000 \times \alpha \\ \\ \implies \alpha = \frac{1}{10000} \\ \\ \implies \alpha = \frac{1}{{10}^{4}} \\ \\ \boxed{\boxed{ \boxed{ \leadsto \gamma = 3 \times \alpha = {30}^{ - 4} }}}$