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Two spheres of radii r 1 and r 2 have densities ρ 1 and ρ 2 and specific heats s 1 and s 2 respectively. If they are heated to the same temperature, then the ratio of their rates of coolling intially in the same surrounding will be :(assume that both surface has same emisivity )

Two spheres of radii r1 and r2 have densities ρ1 and ρ2 and specific heats s1 and s2 respectively. If they are heated to the same temperature, then the ratio of their rates of coolling intially in the same surrounding  will be :(assume that both surface has same emisivity )

Grade:12

1 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
For 1stsphere\

mass=m1
radius=r1
volume=4/3*pi*(r1)^3

So, mass=volume*density
= 4/3*pi*ρ1 *(r1)^3

Similarily do this for sphere 2.

As both the spheres are heated to the same temperature and then cooled till the room temperature, which means change in temperature for both th spheres is same.

The ratio will be in terms of masses of the spheres which has been expressed in terms of their radii and density.

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