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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2005 · Physics · Thermal Properties of Matter

The figure shows a system of two concentric spheres of radii r_1...

The figure shows a system of two concentric spheres of radii r1r_1 and r2r_2 and kept at temperatures T1T_1 and T2T_2 respectively. The radial rate of flow of heat in a substance between the two concentric sphere is proportional to The figure shows a system of two concentric spheres of radii r_1 and r_2 and kept at temperatures T_1 and T_2

Options

  1. Ar2−r1r1r2\frac{r_2-r_1}{r_1 r_2}
  2. Bln⁡(r2r1)\ln \left(\frac{r_2}{r_1}\right)
  3. Cr1r2r2−r1\frac{r_1 r_2}{r_2-r_1}
  4. Dln⁡(r2−r1)\ln \left(r_2-r_1\right)

Correct answer

C. r1r2r2−r1\frac{r_1 r_2}{r_2-r_1}

Step-by-step solution

(dQdt)=\left(\frac{\mathrm{dQ}}{\mathrm{dt}}\right)=\left(\mathrm{T}_1-\mathrm{T}_2\right) \frac{4 \pi \mathrm{r}_1 \mathrm{r}_2 \mathrm{~K}}{\left(\mathrm{r}_2-\mathrm{r}_1\right)}
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