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Assertion :The equivalent thermal conductivity of two plates of same thickness in contact is less than the smaller value of thermal conductivity


Reason: For two plates of equal thickness in contact the equivalent thermal conductivity is given by:

1/K=1/K1+1/K2


 




  • a)
    Assertion is correct but Reason is incorrect

  • b)
    Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

  • c)
    Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

  • d)
    Both Assertion and Reason are incorrect

Correct answer is option 'C'. Can you explain this answer?
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Assertion :The equivalent thermal conductivity of two plates of same t...
Explanation:

1. Assertion: The assertion states that the equivalent thermal conductivity of two plates of the same thickness in contact is less than the smaller value of thermal conductivity.

2. Reason: The reason provided is that for two plates of equal thickness in contact, the equivalent thermal conductivity is given by: 1/K = 1/K1 + 1/K2.

3. The assertion is correct because when two plates of the same thickness are in contact, the heat flow is restricted by the plate with the lower thermal conductivity. This results in the overall equivalent thermal conductivity being less than the smaller value of thermal conductivity.

4. However, the reason provided is incorrect. The correct formula for calculating the equivalent thermal conductivity of two plates in contact is given by: 1/K = L/(K1 + K2), where L is the thickness of the plates. This formula takes into account the thickness of the plates as well as their individual thermal conductivities.

5. Therefore, the assertion is correct but the reason is incorrect. The equivalent thermal conductivity of two plates of the same thickness in contact will indeed be less than the smaller value of thermal conductivity, but the reasoning provided in the assertion is not accurate.
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Assertion :The equivalent thermal conductivity of two plates of same t...
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Assertion :The equivalent thermal conductivity of two plates of same thickness in contact is less than the smaller value of thermal conductivityReason: For two plates of equal thickness in contact the equivalent thermal conductivity is given by:1/K=1/K1+1/K2a)Assertion is correct but Reason is incorrectb)Both Assertion and Reason are correct but Reason is not the correct explanation for Assertionc)Both Assertion and Reason are correct and Reason is the correct explanation for Assertiond)Both Assertion and Reason are incorrectCorrect answer is option 'C'. Can you explain this answer?
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