Write a latent heat unit and dimensional formula. On what does the value of latent heat depend ?

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A given mass $m$ of a hypothetical solid is supplied with heat continuously at a constant rate and the graph shown in the adjacent figure is plotted. If $L_f$ and $L_v$ are latent heats of fusion and latent heats of vaporization and $S_l$ and $S_s$ are specific heats of liquid and solid respectively. It can be concluded that 

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