The dimensional formula for Boltzmann's constant is

Question

The dimensional formula for Boltzmann's constant is (A)  [ML2T-2θ -1]  (B)  [ML2T-2]  (C)  [MLoT-2θ -2]  (D)  [ML-2T-1θ -1]

Tardigrade Admin · Accepted Answer

Boltzmann constant (k) is the ratio of the universal gas constant (R) to the Avogadro constant (NA). It may be thought of therefore as the gas constant k=(R/NA)=[M L2 T-2 θ-2] It is named after Ludwig Boltzmann.

Q. The dimensional formula for Boltzmann's constant is

$[M L^{2} T^{- 2} θ^{- 1}]$

$[M L^{2} T^{- 2}]$

$[M L^{o} T^{- 2} θ^{- 2}]$

$[M L^{- 2} T^{- 1} θ^{- 1}]$

Boltzmann constant $(k)$ is the ratio of the universal gas constant $(R)$ to the Avogadro constant $(N_{A})$ .
It may be thought of therefore as the gas constant
$k = \frac{R}{N _{A}} = [M L^{2} T^{- 2} θ^{- 2}]$
It is named after Ludwig Boltzmann.

Q. The dimensional formula for Boltzmann's constant is

[ML2T−2θ−1]

[ML2T−2]

[MLoT−2θ−2]

[ML−2T−1θ−1]

Boltzmann constant (k) is the ratio of the universal gas constant (R) to the Avogadro constant (NA​). It may be thought of therefore as the gas constant k=NA​R​=[ML2T−2θ−2] It is named after Ludwig Boltzmann.

$[M L^{2} T^{- 2} θ^{- 1}]$

$[M L^{2} T^{- 2}]$

$[M L^{o} T^{- 2} θ^{- 2}]$

$[M L^{- 2} T^{- 1} θ^{- 1}]$

Boltzmann constant $(k)$ is the ratio of the universal gas constant $(R)$ to the Avogadro constant $(N_{A})$ .
It may be thought of therefore as the gas constant
$k = \frac{R}{N _{A}} = [M L^{2} T^{- 2} θ^{- 2}]$
It is named after Ludwig Boltzmann.