Adiabatic Process Characteristics | JEE Main 2025 Solution

JEE MAIN 2025

02-04-2025 SHIFT-2

Question

Identify the characteristics of an adiabatic process in a monoatomic gas.
(A) Internal energy is constant.
(B) Work done in the process is equal to the change in internal energy.
(C) The product of temperature and volume is a constant.
(D) The product of pressure and volume is a constant.
(E) The work done to change the temperature from $T_{1}$ to $T_{2}$ is proportional to $\left(T_{2}-T_{1}\right)$.
Choose the correct answer from the options given below :

Select the correct option:

(B), (D) only

(A), (C), (E) only

(B), (E) only

(A), (C), (D) only

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$Q=\Delta U+W=0 \Rightarrow-\Delta U=W$
$W D=-n C_{v} \Delta T \Rightarrow|W D|=n C_{v} \Delta T \propto T_{2}-T_{1}$
$\therefore B$ & $E$ [Only possibility]

Question Tags

JEE Main

Physics

Easy

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