SATHEE: Properties Of Solids And Liquids Question 445

Properties Of Solids And Liquids Question 445

Question: Four identical rods of same material are joined end to end to form a square. If the temperature difference between the ends of a diagonal is $100^{\circ} C$ , then the temperature difference between the ends of other diagonal will be (where / is the length of each rod)

Options:

A) $0^{\circ} C$

B) $\frac{100}{l}^{\circ} C$

C) $\frac{100}{2 l}^{\circ} C$

D) $100^{\circ} C$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Suppose temperature difference between A and B is $100^{\circ} C$ and $θ_{\Alpha} > θ_{B}$

Heat current will flow from A to B via path ACB and ADB. Since all therod are identical, so, ${(Δ θ)}_{A c} = {(Δ θ)}_{A D}$

(Because heat current $H = \frac{Δ θ}{R};$

here R = same for all) $\Rightarrow θ_{A} - θ_{C} = θ_{A} - θ_{D} \Rightarrow θ_{C} = θ_{D}$ i.e., temperature difference between C and D will be zero.

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Properties Of Solids And Liquids Question 445

Question: Four identical rods of same material are joined end to end to form a square. If the temperature difference between the ends of a diagonal is100∘C , then the temperature difference between the ends of other diagonal will be (where / is the length of each rod)

Options:

Answer:

Solution:

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Question: Four identical rods of same material are joined end to end to form a square. If the temperature difference between the ends of a diagonal is $100^{\circ} C$ , then the temperature difference between the ends of other diagonal will be (where / is the length of each rod)