Question

Consider two containers as shown. In both the containers same gas is present. Assuming that all the molecules are moving with v_rms as shown. It is given that time taken by an atom is one collision with a particular wall in first container is two times the time taken for same collision in second container. What is the ratio of temperature $\frac{T_{left}}{T_{right}}$=?

[T_left for 1^st container &T_right for 2^nd container]

• A. 16
• B. 1/16
• C. 1/8
• D. None of these

Answer 1

Answer: (B)

1/16

Answer 2

$\frac{L}{v_{rms1}}$ =$\frac{2(2L)}{v_{rms2}}$

̃ $\frac{v_{rms1}}{v_{rms2}}$ =$\frac{1}{4}$=$\sqrt{\frac{T_{left}}{T_{right}}}$ ̃ $\frac{T_{left}}{T_{right}}$ =$\frac{1}{16}$