Two spheres made of same substance have diameters in the ratio 1:2. their thermal capacities are in the ratio of

Options

A. `1 : 2 `
B. `1 : 8`
C. `1 : 4 `
D. ` 2 : 1 `

Answer

B

Explanation

Thermal capacity = Mass `xx` Specific heat
Specific heat = constant (Because same material)
`(C_1)/(C_2) = (m_1)/(m_2) = (V_1 rho)/(V_2 rho) = (r_1^3)/(r_2^3) = (1/2)^(3) = (1)/(8)`