• # question_answer litres of a liquid with specific heat $0.2\,cal/g{{m}^{-0}}C$has the same thermal capacity as that of 20 litres of liquid with specific heat 0.3, find the ratio of their densities: A)  3 : 1                           B)  1 : 3               C)    1 : 6                  D)    6 : 1

Given that$\,{{m}_{A}}{{C}_{A}}={{m}_{B}}{{C}_{B}}$or ${{V}_{A}}{{\rho }_{A}}{{C}_{A}}={{V}_{B}}{{\rho }_{B}}{{C}_{B}}$ or $10{{\rho }_{A}}\times 0.2\,=20{{\rho }_{B}}\times 0.3$ or $\frac{{{\rho }_{A}}}{{{\rho }_{B}}}=\frac{3}{1}$ Hence, the correction option is [a].