The dimensional formula of the coefficient of thermal conductivity is : 1. [ M 1 L 1 T − 3 K − 1 ] M1L1T-3K-1 2. [ M 3 L − 1 T − 3 K ] M3L-1T-3K 3. [ M 1 L − 3 T − 1 K − 1 ] M1L-3T-1K-1 4. [ M 1 L 1 T − 3 K ] M1L1T-3K

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The dimensional formula of the coefficient of thermal conductivity is :

1.  $\left[M^1{L}^1{T}^{-3}{K}^{-1}\right]$

2.  $\left[M^3{L}^{-1}{T}^{-3}K\right]$

3.  $\left[M^1{L}^{-3}{T}^{-1}{K}^{-1}\right]$

4.  $[M^1{L}^1{T}^{-3}K⁻¹]$

$\left[\mathrm{<br>}\right]$

Correct option is

D

$[ML{T}^{-3}{k}^{-1}]$

The for the coefficient of thermal conductivity is

$K_{th}=\frac{Q\Delta x}{A\Delta Tt}$

TRICK

Thermal Conductivity-

Speed of Heat Flow per unit Area and Temperature

Dimensional formula of $K_{th}$

$[K_{th}]=\frac{[Heat].[length]}{[Area].[Temperature].[time]}$

$[K_{th}]=\frac{[M{L}^2{T}^{-2}].[L]}{[L^2].[K].[T]}$

$[K_{th}]=[ML{T}^{-3}{K}^{-1}]$

The correct option is D.