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11.Thermodynamics
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ચાર સમાન સળીયાથી ચોરસ બનાવેલું છે. વિકર્ણ પર તાપમાનનો તફાવત $100°C$ હોય ત્યારે બીજા વિકર્ણ પર તાપમાને તફાવત શું થશે ? ($l -$ લંબાઈ )
A
$0° C$
B
$\frac{{100}}{l }\,{\,^ \circ }C$
C
$\frac{{100}}{{2\,l }}\,{\,^ \circ }C$
D
$100°C$
Solution
Four identical rods $A, B, C, D$ which having $A C$ amd $B D$ as a diagonal point.
let the temprature at $A=T^{\circ}\,C$
$\therefore$ at $C=t+100^{\circ}\,C$
Heat is conducted from $A$ to $C$ via $B$ or $D$.
$B \& D$ lies midway along with the passing of
heat conduction through $A B C$ and $A D C$
Hence, temprature of $B$
$=\frac{t+(t+100)}{2}$
$=t+50^{\circ}\,C$
similanly, temprature of $D$
$=\frac{t+t+100}{2}$
$=t+50^{\circ}\,C$
So, the difference of tempralure $(B D)$
$=t+50-t-50$
$t=0^{\circ}\,C$
Standard 11
Physics