Question

Dimension formula of thermal resistance is ​

Answer 1

Answer:

(SI) unit of thermal conductivity is measured in watts per meter-kelvin (W/(m⋅K)). The dimension of thermal conductivity is M1L1T−3Θ−1, expressed in terms of the dimensions mass (M), length (L), time (T), and temperature (Θ).

Answer 2

Solution :

In this Question , We have Provided with thermal resistance and we need to find its dimensional formula . The following Steps reach us to our final solution:

Knowing the Formula of Thermal Resistance :

Thermal Resistance is equal to difference in temperature by thermal Current

⇒ Thermal Current is nothing but a flow rate of heat

Thermal Resistance = (Temperature Difference)/(Flow Rate of Heat)

⇒ (ΔT)/(ΔQ/Δt)

Finding the dimensional formula :

(ΔT)/(ΔQ/Δt)

The S.I. Unit of temperature is Kelvin represented by K . The dimensional formula of Q is ML^2T^-2  and t is M^0L^0T or [T]

⇒ (K)/(ML^2T^-2/T)

⇒ M^-1L^-2T^3 K

Therefore , the dimensional formula of thermal resistance is M^-1L^-2T^3 K