The dimensional formula for thermal resistance is

[M L^{2} T^{- 3} K^{- 1}]

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[M L^{2} T^{- 2} A^{- 1}]

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[M L^{2} T^{- 3} K^{- 2}]

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[M^{- 1} L^{- 2} T^{3} K]

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Solution

The correct option is D $[M^{- 1} L^{- 2} T^{3} K]$
Thermal resistance is a heat property and a measurement of a temperature difference by which an object or material resists a heat flow (heat per unit time or thermal resistance).

$T h e r m a l R e s i s a t n c e$ $= \frac{T e m p e r a t u r e d i f f e r e n c e}{T h e r m a l c u r r e n t} = \frac{Δ T}{R a t e o f f l o w o f h e a t}$

$⟹ \frac{Δ T}{\frac{Δ Q}{Δ t}} = \frac{[K]}{[M L^{2} T^{- 3}]} = [M^{- 1} L^{- 2} T^{3} K]$

The dimensional formula for thermal resistance is $[M^{- 1} L^{- 2} T^{3} K]$

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Similar questions

Column-I	Column-II
(a) Thermal conductivity	(p) is a dimensionless quantity
(b) Stefans constant	(q) $M L^{o} T^{o} K$
(c) Wiens constant	(r) $M L^{2} T^{- 3} K^{- 1}$
(d) Emissivity	(s) $M L^{o} T^{- 3} K^{- 4}$

M L^{2} T^{- 2}

a) Thermal resistance	e) $M T^{- 3} K^{- 4}$
b) Stefan's constant	f) $M L T^{- 3} K^{- 1}$
c) Wein's constant	g) $M^{- 1} L^{- 2} T^{3} K$
d) coefficient of thermal conductivity	h) $M^{o} L K$

M L^{2} T^{- 3}

L

L = r p sin θ

r

P

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