Two ends of a conducting rod of varying cross-section are maintained at 200-C and 0-C respectively- In staedy state

nbsp;Temperature difference ∝ thermal resistance (R) Where R=lKA or R∝1A Area across CD is less. Therefore, temperature difference across CD will be more. ...

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Standard XIII

Physics

Thermal Resistance

Two ends of a...

Question

Two ends of a conducting rod of varying cross-section are maintained at $200^{\circ} C$ and $0^{\circ} C$ respectively. In staedy state

temperature difference across A B and C D are equal

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temperature difference across A B is greater than that of across C D

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temperature difference across A B is less than that of across C D

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temperature difference may be equal or different depending on the thermal conductivity of the rod

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Solution

The correct option is C $temperature difference across A B is less than that of across C D$
Temperature difference $\propto$ thermal resistance $(R)$
Where $R = \frac{l}{K A}$ or $R \propto \frac{1}{A}$
Area across $C D$ is less. Therefore, temperature difference across $C D$ will be more.

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Two ends of a conducting rod of varying cross-section are maintained at 200∘C and 0∘C respectively. In staedy state

The correct option is C temperature difference across AB is less than that of across CD Temperature difference ∝ thermal resistance (R) Where R=lKA or R∝1A Area across CD is less. Therefore, temperature difference across CD will be more.

Two ends of a conducting rod of varying cross-section are maintained at $200^{\circ} C$ and $0^{\circ} C$ respectively. In staedy state

The correct option is C $temperature difference across A B is less than that of across C D$
Temperature difference $\propto$ thermal resistance $(R)$
Where $R = \frac{l}{K A}$ or $R \propto \frac{1}{A}$
Area across $C D$ is less. Therefore, temperature difference across $C D$ will be more.