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JEE Main 20202 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
2 September
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2020 · 2 September · Evening Shift · Physics · Kinetic Theory of Gases

An ideal gas in a closed container is slowly heated. As its...

An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true ?

(A) the mean free path of the molecules decreases

(B) the mean collision time between the molecules decreases.

(C) the mean free path remains unchanged.

(D) the mean collision time relations unchanged.

Options

  1. A(B)( B ) and (C)\left(C\right)
  2. B(A)( A )and (B)( B )
  3. C(C)( C ) and (D)( D )
  4. D(A)\left(A\right) and (D)( D )

Correct answer

A. (B)( B ) and (C)\left(C\right)

Step-by-step solution

As we know mean free path

λ=12(NV)πd2\lambda = \dfrac{1}{\sqrt{2}\left(\dfrac{N}{V}\right)\pi{d}^{2}}

N = no. of molecule

V = volume of container

d = diameter of molecule

Velocity constant and no. of molecules are same. So mean free path remains same. As temperature increases no. of collision increases so relaxation time decrease.

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