Two hollow supheres of thickness are filled with ice The ratio of their diameter is `1:2` and the materials is `2 :3` The ratio of times in which the ice gets melted in the two spheres is .

Options

A. `3 :4`
B. `4 :3`
C. `3 :8`
D. `8 :3`

Answer

A

Explanation

`mL_(ice)=(KA(Deltatheta)t)/(d)rArr(4)/(3)piR^(3)rhoccxxL_(ice)=(K4piR^(2)(Deltatheta)t)/(d)`
`:.(t_(1))/(t_(2))=(R_(1))/(R_(2))xx(K_(2))/(K_(1))`