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The figure shows a system of two concent...

The figure shows a system of two concentric spheres of radii `r_1 and r_2` are kept at temperature `T_1 and T_2`, respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to

A

`((r_2-r_1))/((r_1r_2))`

B

`ln ((r_2)/(r_1))`

C

`(r_1 r_2)/((r_2-r_1))`

D

`(r_2-r_1)`

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Solve the foregoing problem for the case of two concentric spheres of radii R_1 and R_2 and temperatures T_1 and T_2 .

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Knowledge Check

  • A system consists of two concentric spherical shells of radii a and b (b>a) maintained at tempareture T_1 and T_2 respectively.The radial rate of flow of heat through subtance between the two concentric spherical shells is proportional to

    A
    b - a
    B
    `(ab)/(b - a)`
    C
    `log_e(b/a)`
    D
    `(b - a)/(ab)`
  • Two conducting spheres of radii r_(1) and r_(2) having charges Q_(1) and Q_(2) respectively are connected to each other. There is

    A
    no change in the energy of the system
    B
    an increase in the energy of the system
    C
    always a decrease in the energy of the system
    D
    a decrease in the energy of the system unless `Q_(1)r_(2)=Q_(2)r_(1)`
  • Two concentric conducting spheres of radii R and 2R are crrying charges Q and -2Q , respectively. If the charge on inner sphere is doubled, the potetial differece between the two spheres will

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