The density of a material A is 1500 kg/m^3 a | vedclass

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(D) Heat capacity $(C)$ is defined as the product of mass $(m)$ and specific heat capacity $(c)$,i.e.,$C = mc$.Mass is given by the product of density

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$2 : 1$

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(D) Heat capacity $(C)$ is defined as the product of mass $(m)$ and specific heat capacity $(c)$,i.e.,$C = mc$.Mass is given by the product of density $(ho)$ and volume $(V)$,i.e.,$m = ho V$.For material $A$: Density $ho_A = 1500 \ kg/m^3$,Volume $V_A = 8 \ units$. Mass $m_A = 1500 	imes 8 = 12000 \ units$.For material $B$: Density $ho_B = 2000 \ kg/m^3$,Volume $V_B = 12 \ units$. Mass $m_B = 2000 	imes 12 = 24000 \ units$.Given that the heat capacity of $8$ volumes of $A$ is equal to the heat capacity of $12$ volumes of $B$:$m_A 	imes c_A = m_B 	imes c_B$$12000 	imes c_A = 24000 	imes c_B$$c_A = 2 c_B$Therefore,the ratio of specific heats $c_A : c_B = 2 : 1$.

The density of a material $A$ is $1500 \ kg/m^3$ and that of another material $B$ is $2000 \ kg/m^3$. It is found that the heat capacity of $8$ volumes of $A$ is equal to the heat capacity of $12$ volumes of $B$. The ratio of specific heats of $A$ and $B$ will be

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