Home Physics Kinetic Theory of Gases JEE Main 2023 The number of air molecules per cm 3 is incr…
Physics Kinetic Theory of Gases JEE Main 2023 MCQ (Single Correct)

The number of air molecules per cm 3 is increased from 3 x 10 19 to 12 x 10 19 . The ratio of collision frequency of air molecules before and after the increase in number respectively is :

A
0.75
B
1.25
C
0.50
D
0.25

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Text Solution

Verified by Experts
The correct answer is:
D

The given data is

n 1 = 3 x 10 19

n 2 = 12 x 10 19

The mean time between two collision has the meaning of a period , since it indicates the repetitive time intervals in which on average collisions take place. The reciprocal of the time can be understood as the collision frequency f, which indicates the number of collisions per unit time. The collision frequency is also directly proportional to the number molecules per unit volume.

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