NEET2025PhysicsThermodynamicsActual
Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius r_A and r_B , 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 r_A r_B is equal to
Options
- A4 3
- B3 4
- C2 3
- D3 2
Correct answer
B. 3 4
Step-by-step solution
According to question Pressure is constant P_A=P_B aligned & Q _ A = Q _ B & U _ A = U _ B aligned So according to I law aligned & Q = U + w & w ₁= W ₂ & P ₁ ~V ₁= P ₂ ~V ₂ & ( r _ A ^2 ) x _ B = ( r _ B ^2 ) x _ A & r _ A r _ B = x _ B x _ A = 9 16 = 3 4 aligned