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10-2.Transmission of Heat
normal
તંત્રનો સમતુલ્ય ઉષ્મા વાહકતા શોઘો.
A
${K_1} + {K_2}$
B
$\frac{{{K_1}{K_2}}}{{{K_1} + {K_2}}}$
C
$\frac{{{K_1} + 3{K_2}}}{4}$
D
$\frac{{3{K_1} + {K_2}}}{4}$
Solution
સમતુલ્ય ઉષ્મા વાહકતા $K = \frac{{{K_1}{A_1} + {K_2}{A_2}}}{{{A_1} + {A_2}}}$
$\Rightarrow A_1 = \pi \,R^2,$
$\Rightarrow A_2 = \pi \,(2\,R)^2 -\,\pi \,(R)^2 = 3\,\pi \,R^2 $
$\therefore K = \frac{{{K_1}.\pi {R^2} + {K_2}\,\,3\pi {R^2}}}{{\pi {R^2} + 3\pi {R^2}}} = \frac{{{K_1} + 3{K_2}}}{4}$
Standard 11
Physics
