Q1.Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius rA and rB, respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by 16 cm and 9 cm, respectively. If the change in their internal energy is the same, then the ratio rA/rB is equal to
- A4/3
- B3/4Answer
- C2/3
- D3/2
By the first law Q = ΔU + W, and since both Q and ΔU are equal for the two gases the work must be equal too. At constant pressure W = PΔV, so πrA²dA = πrB²dB, giving rA/rB = √(dB/dA) = √(9/16) = 3/4.
Source: NEET 2025 (4 May), Code 45, Q41