Question

Ratio of thermal capacities of two copper spheres of radii 5cm and 10 cm is​

Answer 1

$\huge\mathbb{\orange{QUESTION-}}$

Ratio of thermal capacities of two copper spheres of radii 5cm and 10 cm is

$\huge\mathbb{\orange{SOLUTION-}}$

$\large\underline{\underline{\sf Given:}}$

• Radii ${\sf (R_1)}$ = 5 cm
• Radii ${\sf (R_2)}$ = 10cm

$\large\underline{\underline{\sf To\:Find:}}$

• Ratio of thermal capacities .

$\large\underline{\underline{\sf Formula\:Used:}}$

$\large{\boxed{\sf Heat\: Capacity= Mass×Specific \: heat }}$

mass = density × volume

Heat Capacity = ${\sf \rho × \dfrac{4πr^3}{3}}$

Here we can see that ⎯

${\sf \blue {Heat\:Capacity (H)\:\:\:\alpha \:\:\:\:r^3}}$

$\implies{\sf \dfrac{H_1}{H_2}=\dfrac{(r_1)^3}{(r_2)^3} }$

$\implies{\sf \dfrac{5^3}{10^3}}$

$\implies{\sf \dfrac{125}{1000} }$

$\implies{\bf \red{\dfrac{H_1}{H_2}=\dfrac{1}{8}}}$

$\huge\mathbb{\orange{ANSWER-}}$

Ratio of thermal capacities is ${\bf \red{H_1:H_2=1:8}}$

Answer 2

Answer:

The ratio is 1:8.......