Ncert Exercises & Solutions

A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole of oxygen (both considered ideal). Let $f_{1} (v) d v$ $f_{1} (v) d v$ denotes the fraction of molecules with a speed between v and (v+dv) with $f_{2}$ $f_{2}$ (v)dv similarly for oxygen. Then,

1. $f_{1} (v) + f_{2}$ $f_{1} (v) + f_{2}$ (v) = f(v) obeys the Maxwell's distribution law.

2. $f_{1} (v), f_{2} (v)$ $f_{1} (v), f_{2} (v)$ will obey Maxwell’s distribution law separately.

3. neither $f_{1} (v)$ $f_{1} (v)$ nor $f_{2} (v)$ $f_{2} (v)$ will obey Maxwell’s distribution law.

4. $f_{2} (v)$ $f_{2} (v)$ and $f_{1} (v)$ $f_{1} (v)$ will be the same.

(2)

Hint: Apply the concept of Maxwell's distribution law.

For a function f(v), the number of molecules n = f(v), which are having speeds between v and v+dv.
For each function

f_{1} (v)

$f_{1} (v)$ and

f_{2} (v)

$f_{2} (v)$ , n will be different, hence each function

f_{1} (v)

$f_{1} (v)$ and

f_{2} (v)

$f_{2} (v)$ will obey Maxwell's distribution law separately.

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