Heat is supplied to a certain homogeneous sample of matter at a uniform rate.
Its temperature is plotted against time as shown in the figure. Which of the following conclusions can be drawn ?

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its specific heat capacity is greater in the solid-state than in the liquid state

its specific heat capacity is greater in the liquid state than in the solid-state

its latent heat of vaporization is greater than its latent heat of fusion

its latent heat of vaporization is smaller than its latent heat of fusion

answer is B, C.

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Detailed Solution

If $H$ is the rate of heat supplied, then in the solid state T = $(\frac{H}{m s_{s}}) t a n d i n t h e l i q u i d s t a t e T = T_{0} + (\frac{H}{m s_{l}}) t$ .

Since slope of T-t graph in the solid state is greater than the slope of T-t graph in liquid state , we can conclude $s_{s} < s_{l} .$ Option $(1) i s c o r r e c t .$