The dimensional formula for thermal resistance is :

Question

The dimensional formula for thermal resistance is : (A) M -1 L -2 T 3 θ (B) M -1 L -2 T 3 θ (C) ML -2 T 2 θ (D) ML -2 T -2 θ-1

Tardigrade Admin · Accepted Answer

When thermal conductivity is K, thermal resistivity is (1/K), then thermal resistance R=(1 × L/K A) Now heat conducted is given by (Q1/t)=θ1 (k A(θ1-θ2)/L)=(θ1-θ2/R) Therefore, dimensions of R = dimensions of ((θ1-θ2) t/Q) =(θ T/M ×(L2 T-2 θ-1)) =M-1 L-2 T3 θ

Q. The dimensional formula for thermal resistance is :

$M^{- 1} L^{- 2} T^{3} θ$

$M^{- 1} L^{- 2} T^{3} θ$

$M L^{- 2} T^{2} θ$

$M L^{- 2} T^{- 2} θ^{- 1}$

Q. The dimensional formula for thermal resistance is :

M−1L−2T3θ

M−1L−2T3θ

ML−2T2θ

ML−2T−2θ−1

When thermal conductivity is K, thermal resistivity is K1​, then thermal resistance R=KA1×L​ Now heat conducted is given by tQ1​​=θ1​LkA(θ1​−θ2​)​=Rθ1​−θ2​​ Therefore, dimensions of R= dimensions of Q(θ1​−θ2​)t​ =M×(L2T−2θ−1)θT​ =M−1L−2T3θ

$M^{- 1} L^{- 2} T^{3} θ$

$M^{- 1} L^{- 2} T^{3} θ$

$M L^{- 2} T^{2} θ$

$M L^{- 2} T^{- 2} θ^{- 1}$