Q.

The rms velocity of Nitrogen molecule in a cylinder containing Nitrogen gas at 170C is 5×1012 m/s. If the diameter of the Nitrogen molecule is roughly 2.0 A0 and no. of molecules per unit volume is  2.56×1025 m-3. Then the time taken for the collision between two Nitrogen molecules  

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a

3×10–13 s

b

2×10–13 s

c

1×10–13 s

d

 4.4×10–20 s

answer is B.

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Detailed Solution

t=λVrms=1Vrms12πd2n

t=15×1012×11.41×3.14×2×10102×2.56×1025

t=4.4×1020sec

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