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10-1.Thermometry, Thermal Expansion and Calorimetry
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સમાન દ્વવ્ય ધરાવતા ગોળાના વ્યાસનો ગુણોત્તર $1 : 2$ હોય,તો ઉષ્માધારિતાનો ગુણોત્તર કેટલો થાય?

A

$1:2$

B

$1:8$

C

$1:4$

D

$2:1$

Solution

ઉષ્માધારિતા $= mc$

$\therefore$ $Ratio\ of\ thermal\ capacity$ $ = \frac{{{m_1}}}{{{m_2}}} = \frac{{{V_1}\rho }}{{{V_2}\rho }}$$ = \frac{{\frac{4}{3}\pi r_1^3}}{{\frac{4}{3}\pi r_2^3}} = {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^3} = {\left( {\frac{1}{2}} \right)^3} = 1:8$

Standard 11
Physics

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