WBJEE · Physics · Kinetic Theory of Gases
The speed distribution for a sample of \(N\) gas particles is shown below. \(P(v)=0\) for \(v\gt2 v_0\). How many particles have speeds between \(1.2 \mathrm{v}_0\) and \(1.8 \mathrm{v}_0\) ?
- A 0.2 N
- B 0.4 N
- C 0.6 N
- D 0.8 N
Answer & Solution
Correct Answer
(B) 0.4 N
Step-by-step Solution
Detailed explanation
Hint: Total area under curve \(=\frac{3}{2} v_0 a=N\) Area under \(1.2 \mathrm{v}_0\) to \(1.8 \mathrm{v}_0\) is \(0.6 \mathrm{v}_0=0.4 \mathrm{~N}\)
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