Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the correct answer from the options given below:
- (A) is true but (R) is false
- Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
- (A) is false but (R) is true
- Both (A) and (R) are true and (R) is the correct explanation of (A)
Answer
(4) Both (A) and (R) are true and (R) is the correct explanation of (A)
Solution
Isothermal: P dV+V dP=0 ⇒ |dV|= VP dP; adiabatic: P dV+V dP=0 ⇒ |dV|= V P dP
[figure]
>1 ⇒ for the same rise in P the volume falls more in the isothermal process ⇒ (A) true
(R) gives exactly the relations that lead to this ⇒ (R) explains (A)
Answer: (4)