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The dimensional forumla for thermal resistance is
(A) \({\left[{M}{L}^{{2}}{T}^{{-{3}}}{K}^{{-{1}}}\right]}\)
(B) \({\left[{M}{L}^{{2}}{T}^{{-{2}}}{A}^{{-{1}}}\right]}\)
(C) \({\left[{M}^{{-{1}}}{L}^{{-{2}}}{T}^{{3}}{K}\right]}\)
(D) \({\left[{M}{L}^{{2}}{T}^{{-{3}}}{K}^{{-{2}}}\right]}\)
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The dimensional forumla for thermal resistance is
(A) \({\left[{M}{L}^{{2}}{T}^{{-{3}}}{K}^{{-{1}}}\right]}\)
(B) \({\left[{M}{L}^{{2}}{T}^{{-{2}}}{A}^{{-{1}}}\right]}\)
(C) \({\left[{M}^{{-{1}}}{L}^{{-{2}}}{T}^{{3}}{K}\right]}\)
(D) \({\left[{M}{L}^{{2}}{T}^{{-{3}}}{K}^{{-{2}}}\right]}\)

Answer

Answer: (c )
Thermal resistacne
\(=\frac{{{I}}}{{{K}{A}}}=\frac{{{I}}}{{{\left[\frac{{\Delta{Q}}}{{\Delta{t}}}/{\left({A}\frac{{\Delta{T}}}{{\Delta{x}}}\right)}\right]}}}\times{A}\)
\(=\frac{{{I}\Delta{T}/\Delta{x}}}{{\Delta{Q}/\Delta{t}}}=\frac{{{L}{K}{L}^{{-{1}}}}}{{{M}{L}^{{2}}{T}^{{-{2}}}{T}^{{-{1}}}}}\)
\(={\left[{M}^{{-{1}}}{L}^{{-{2}}}{T}^{{3}}{K}^{{1}}\right]}\)
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