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Statement I: The thermal resistance of a...

Statement I: The thermal resistance of a multiple later is equal to the sum of the thermal resistance of the individual laminas.
Statement II: Heat transferred is directly proportional to the temperature gradient in each layer.

A

(a)Statement I is true, Statement II is true and Statement II is the correct explanation for statement I.

B

(b)Statement I is true, statement II is true and statement II NOT the correct explanation for Statement I

C

(c)Statement I is true, Statement II is false.

D

(d)Statement I is false, statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements provided and determine their validity. ### Step 1: Analyze Statement I **Statement I:** The thermal resistance of a multiple layer is equal to the sum of the thermal resistance of the individual laminas. - **Explanation:** In a series arrangement of thermal resistances, the total thermal resistance (R_total) is indeed the sum of the individual thermal resistances (R1, R2, R3, ...). This is analogous to electrical resistances in series. Therefore, this statement is correct. ### Step 2: Analyze Statement II **Statement II:** Heat transferred is directly proportional to the temperature gradient in each layer. - **Explanation:** According to Fourier's law of heat conduction, the heat transfer (Q) through a material is directly proportional to the temperature difference (ΔT) across the material and inversely proportional to the thickness (L) of the material. This can be expressed as: \[ Q \propto \frac{\Delta T}{L} \] Hence, the heat transferred is indeed directly proportional to the temperature gradient (which is ΔT/L) in each layer. Therefore, this statement is also correct. ### Step 3: Determine the Relationship Between the Statements - While both statements are correct, we need to determine if Statement II provides a correct explanation for Statement I. The first statement discusses the summation of thermal resistances, while the second statement discusses heat transfer proportionality. They are related concepts but do not directly explain one another. ### Conclusion - **Statement I** is correct. - **Statement II** is correct. - However, **Statement II** is not a correct explanation for **Statement I**. ### Final Answer The correct option is B: Statement I is correct, Statement II is correct, but Statement II is not a correct explanation for Statement I. ---
To solve the question, we need to analyze both statements provided and determine their validity. ### Step 1: Analyze Statement I **Statement I:** The thermal resistance of a multiple layer is equal to the sum of the thermal resistance of the individual laminas. - **Explanation:** In a series arrangement of thermal resistances, the total thermal resistance (R_total) is indeed the sum of the individual thermal resistances (R1, R2, R3, ...). This is analogous to electrical resistances in series. Therefore, this statement is correct. ### Step 2: Analyze Statement II ...
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