JEE MAIN - Physics (2023 - 29th January Morning Shift - No. 5)

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: If $$d Q$$ and $$d W$$ represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics $$d Q=d U-d W$$.

Reason R: First law of thermodynamics is based on law of conservation of energy.

In the light of the above statements, choose the correct answer from the options given below:

Both A and R are correct but R is not the correct explanation of A
Both A and R are correct and R is the correct explanation of A
A is correct but R is not correct
A is not correct but R is correct

Explanation

Heat supplied to the system $=d Q$

Work done on the system $=-d W$

By the first law of thermodynamics, $d Q=d U+d W$

We done the work, therefore,

$$ d Q=d U+(-d W) = d U-d W $$

So, both A and R are correct and R is the correct explanation of A.

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