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The thermal conductivity of a rod depend...

The thermal conductivity of a rod depends on

A

length

B

mass

C

area of cross section

D

material of the rod.

Text Solution

Verified by Experts

The correct Answer is:
D
material of the rod.
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Seven rods A, B, C, D, E, F and G are joined as shown in figure. All the rods have equal cross-sectional area A and length l. The thermal conductivities of the rods are K_(A)=K_(C)=K_(0) , K_(B)=K_(D)=2K_(0) , K_(E)=3K_(0) , K_(F)=4K_(0) and K_(G)=5K_(0) . The rod E is kept at a constant temperature T_(1) and the rod G is kept at a constant temperature T_(2) (T_(2)gtT_(1)) . (a) Show that the rod F has a uniform temperature T=(T_(1)+2T_(2))//3 . (b) Find the rate of heat flowing from the source which maintains the temperature T_(2) .

Knowledge Check

  • The conductivity of a conductor depends on the .......... of the conductor.

    A
    length
    B
    material
    C
    resistance
    D
    area of cross-section.

  • A heat flux of 4000 J/s is to be passed through a copper rod of length 10 cm and area of cross-section 100 cm^2 . The thermal conductivity of copper is 400 W/m/ °C. The two ends of this rod must be kept at a temperature difference of

    A
    1°C
    B
    10°C
    C
    100°C
    D
    1000°C

  • The thermal conductivity of a material in CGS system is 0.4. In steady state, the rate of flow of heat 10 cal/sec-cm, then the thermal gradient will be

    A
    10°C/ cm
    B
    12°C/ cm
    C
    25°C/ cm
    D
    20°C/ cm

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