Solve this: Q Two spheres of radii in the ratio 1 : 2 and densities in the ratio - Physics - Communication Systems

Question

Solve this:

Q Two spheres of radii in the ratio 1 : 2 and densities in the
ratio 2: 1 and of same specific heat, are heated to same
temperature and left in the same surrounding Their rate of falling
temperature will be in the ratio:

(1) 2 : 1 (2) 1 : 1 (3) 1 : 2 (4) 1 : 4

Deepak Kumar · Accepted Answer

Dear Student ,

The amount of heat energy possessed by a sphere is given by;           Q=m×c×∆TThe ratio of rate of cooling of the two sphere=m1×c1m2×c2=43πr13ρ1×c143πr23ρ2×c2or           ratio of rate of cooling of the two sphere=r13ρ1×c1r23ρ2×c2=1×22×2×2×1=14

option (4) is correct
Regards

Solve this: Q. Two spheres of radii in the ratio 1 : 2 and densities in the ratio 2: 1 and of same specific heat, are heated to same temperature and left in the same surrounding. Their rate of falling temperature will be in the ratio: (1) 2 : 1 (2) 1 : 1 (3) 1 : 2 (4) 1 : 4

Solve this:

Q. Two spheres of radii in the ratio 1 : 2 and densities in the ratio 2: 1 and of same specific heat, are heated to same temperature and left in the same surrounding. Their rate of falling temperature will be in the ratio:

(1) 2 : 1 (2) 1 : 1 (3) 1 : 2 (4) 1 : 4