In the equation `((1)/(pbeta))=(y)/(k_(B)T)`, where `p` is the pressure, `y` is the distance, `k_(B)` is Boltzmann constant and `T` is the tempreture. Dimensions of `beta` are

Options

A. `["M"^(-1)"L"^(1)"T"^(2)]`
B. `["M"^(0)"L"^(2)"T"^(0)]`
C. `["M"^(1)"L"^(-1)"T"^(-2)]`
D. `["M"^(0)"L"^(0)"T"^(0)]`

Answer

B

Explanation

Given equation, `(1)/(pbeta)=(y)/(k_(B)T)`
where, `p` = pressure, `y` = distance,
`k_(B)` = Boltzmann constant and `T` = temperature
Dimension of `[beta]=(["Dimensions of "k_(B)]["Dimensions of "T])/(["Dimensions of "p]["Dim en sions of "y])`
`" "=(["ML"^(2)"T"^(-3)]["T"])/(["ML"^(-1)"T"^(-2)]["L"])=["M"^(0)"L"^(2)"T"^(0)]`