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Q.

What are the dimensions of Boltzmann's constant?

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a

MLT -2 K -1

b

ML 2T -2 K -1

c

M0LT -2 K -1

d

M0L 2T -2 K -1

answer is B.

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Detailed Solution

According to the law of equipartition of energy, the energy per degree of freedom of a gas atom or molecule at a temperature θ kelvin is given by

E=12 k θ  or k= 2Eθ 

where k is the Boltzmann's constant.

∴ Dimensions of k=dimensions of Edimensions of θ                          =ML2T-2K= ML2T-2K-1

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