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According to Maxwell`-`distribution law, the probability function representing the ratio of molecules at a particular velocity to the total number of molecules is given by `f(v)=k_(1)sqrt(((m)/(2piKT^(2))))4piv^(2)e^(-(mv^(2))/(2KT))` Where `m` is the mass of the molecule, `v` is the velocity of the molecule, `T` is the temperature `k` and `k_(1)` are constant. The dimensional formulae of `k_(1)` isA. `L^(2)T^(-2)`B. `L^(1)T^(-1)K^(-3//2)`C. `L^(1)T^(-1)K^(+3//2)`D. `L^(2)T^(-1)K^(+3//2)` |
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Answer» Correct Answer - C Here `f(v)` is dimensionless and `[mv^(2)]=[kt]` `[k_(i)]=[((2pikT^(2))/(m))^( 1.5)(1)/(4piv^(2))]=[vT^(1.5)]=[L^(1)T^(-1)K^(1.5)]` |
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