Two different liquids of same mass are kept in two identical...

Two different liquids of same mass are kept in two identical vessels, which are placed in a freezer that extracts heat from them at the same rate causing each liquid to transform into a solid. The schematic figure below shows the temperature T vs time t plot for the two materials. We denote the specific heat in the liquid statusto be

C_{L 1}

and

C_{L 2}

for materials 1 and 2 respectively, and latent heats of fusion

U_{1}

and

U_{2}

respectively. Two different liquids of same mass are kept in two identical vessels, which are placed in a freezer that extracts heat

Choose the correct option.

Options

A $C_{\text{L1 }}>C_{L 2}$ and $U_{1} < U_{2}$
B $C_{\mathrm{L} 1}>\mathrm{C}_{\mathrm{L} 2}$ and $\mathrm{U}_{1}>\mathrm{U}_{2}$
C $\mathrm{C}_{\mathrm{L1}} < \mathrm{C}_{\mathrm{L} 2}$ and $\mathrm{U}_{1}>\mathrm{U}_{2}$
D $C_{\mathrm{L1}} < \mathrm{C}_{\llcorner 2}$ and $U_{1} < U_{2}$

Correct answer

C. $\mathrm{C}_{\mathrm{L1}} < \mathrm{C}_{\mathrm{L} 2}$ and $\mathrm{U}_{1}>\mathrm{U}_{2}$

Step-by-step solution

Let Refrigerater extract

Q

joul/per second

\text{ Q.t } \Rightarrow \mathrm{ms}\left(\mathrm{T}_{\mathrm{f}}-\mathrm{T}\right)

Higher the specific heat, Higher the slope

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