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

Q1

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : With the increase in the pressure of an ideal gas, the volume falls off more rapidly in an isothermal process in comparison to the adiabatic process.
Reason (R) : In isothermal process, PV = constant, while in adiabatic process \(P{V}^{\gamma }=\) constant. Here \(\gamma\) is the ratio of specific heats, P is the pressure and V is the volume of the ideal gas.
In the light of the above statements, choose the correct answer from the options given below :

a

(A) is true but (R) is false

b

Both (A) and (R) are true and (R) is the correct explanation of (A)

c

Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

d

(A) is false but (R) is true

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