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JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases

Consider two boxes containing ideal gases A and B such that their temperatures, pressures and number densities are same. The molecular size of A is half of that of B and mass of molecule A is four times that of B. If the collision frequency in gas B is \( 32\times10^{18}/s \) then collision frequency in gas A is__________/s.

  1. A \( 32\times10^{18} \)
  2. B \( 4\times10^{18} \)
  3. C \( 2\times10^{18} \)
  4. D \( 8\times10^{18} \)
Verified Solution

Answer & Solution

Correct Answer

(B) \( 4\times10^{18} \)

Step-by-step Solution

Detailed explanation

Collision frequency (z) \( =\sqrt{2}\pi d^{2}N\sqrt{\frac{8RT}{\pi M}} \) Temp, N are same \( Z\propto\frac{d^{2}}{\sqrt{M}} \) \( d_{A}=\frac{d_{B}}{2} \) \( M_{A}=4M_{B} \)…
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