Question

The r.m.s. speed of a certain gas is v at 400 K. The temperature at which the r.m.s. speed becomes two times, will be-

• A. 800 K
• B. 1600 K
• C. 1200 K
• D. None of these

Answer 1

Answer: (B)

1600 K

Answer 2

v_rms µ $\sqrt{T}$

̃$\frac{T_{2}}{T_{1}}$= $\frac{{v_{2}}^{2}}{{v_{1}}^{2}}$=$\frac{4v^{2}}{v^{2}}$= 4

̃T₂ = 4T₁ = 4 × 400 = 1600K