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Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius \({r}_{A}\) and \…

Q1

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 \({\mathrm{r}}_{\mathrm{A}}/{\mathrm{r}}_{\mathrm{B}}\)is equal to

[NEET 2025]

a

\(\frac{2}{\sqrt{3}}\)

b

\(\frac{\sqrt{3}}{2}\)

c

\(\frac{4}{3}\)

d

\(\frac{3}{4}\)

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