In previous problem, the ratio of the initial rates of cooling (i.e., rates of fall of temperature) is

Options

A. `(R_(1))/(R_(2))`
B. `(R_(2))/(R_(1))`
C. `(R_(1)^(2))/(R_(2)^(2))`
D. `(R_(2)^(2))/(R_(1)^(2))`

Answer

B

Explanation

(2) `(dT)/(dt) prop (A)/(m) = (4 pi R^(2))/(rho. (4)/(3) pi R^(3))`
`(dT)/(dt) prop (1)/(R )`
`((dT//dt)_(1))/((dT//dt)_(2)) = (R_(2))/(R_(1))`