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NEETPhysicsKinetic Theory of Gases

Match the quantities in Column I with their corresponding expressions in Column II. ( array |c|l|c|l| & Column I & & Column II (a) & Root mean square speed & (p) & 1 2 m v_ rms ² = 3 2 k_ B T (b) & Mean free path & (q) & 1 2 d² n (c) & Ideal gas equation & (r) & P V = n R T (d) & Degrees of freedom & (s) & 5 & of a diatomic gas & & (e) & Pressure of an ideal gas & (t) & P = 1 3 v_ rms ² array )

Options

  1. A((a-p),(b-q),(c-r),(d-s),(e-t) )
  2. B(a - p), (b - r), (c - q), (d - s), (e - t)
  3. C(a - t), (b - q), (c - r), (d - s), (e - p)
  4. D(a - t), (b - q), (c - s), (d - r), (e - p)

Correct answer

A. ((a-p),(b-q),(c-r),(d-s),(e-t) )

Step-by-step solution

1. (a) Root mean square speed corresponds to the relation where the kinetic energy is given by ( 1 2 m v_ rms ^2= 3 2 k_B T ), which shows the connection between temperature and molecular speed. 2. (b) Mean free path is the average distance a molecule travels before colliding, and it is given by ( 1 2 d^2 n ), where (d ) is the diameter of the molecules, and (n ) is the number density. 3. (c) Ideal gas equation is represented by the familiar equation (P V=n R T ), which relates pressure, volume, and temperature of

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