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10-2.Transmission of Heat
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આકૃતિ $1$ માં ઉષ્માનું વહન $12 \,sec$ માં થાય, તેટલી જ ઉષ્માનું વહન આકૃતિ $2$ માં થતાં ....... $(\sec)$ સમય લાગે?
A
$24$
B
$3$
C
$1.5$
D
$48$
Solution
$Q = K\,A\frac{{\Delta \theta }}{l}.t$
$\therefore t \propto \frac{l}{A}$
$\Rightarrow \frac{{{t_1}}}{{{t_2}}} = \frac{{{l_1}}}{{{l_2}}} \times \frac{{{A_2}}}{{{A_1}}} = \left( {\frac{{{l_1}}}{{{l_1}/2}}} \right)\, \times \left( {\frac{{2{A_1}}}{{{A_1}}}} \right)$
$\Rightarrow \frac{{{t_1}}}{{{t_2}}} = 4$ $⇒$ ${t_2} = \frac{{{t_1}}}{4} = \frac{{12}}{4} = 3$
Standard 11
Physics
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