The quantities of heat required to raise the temperature of two solid copper spheres of radii `r_1` and `r_2` `(r_1 = 1.5 r_2)` through 1K are in ratio

Options

A. `(27)/(8)`
B. `(9/4)`
C. `(3/5)`
D. `(5/3)`

Answer

A

Explanation

`Delta Q = ms Delta T`
`Delta Q = (4)/(3) pi r^(3) rho s Delta T`
`(Delta Q_1)/(Delta Q_2) = ((r_1)/(r_2))^(3)`
`rArr ((1.5)^(3))/(1) = (27)/(8)`