What are fusion and melting point ? On what does the value of melting point 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 

A closed bottle containing water at $30^{\circ} C$ is open on the surface of the moon. Then,

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Why skating is possible on ice ?

A metallic ball and highly stretched spring are made of the same material and have the same mass. They are heated so that they melt, the latent heat required

If liquefied oxygen at $1$ atmospheric pressure is heated from $50\, K$ to $300\, K$ by supplying heat at constant rate. The graph of temperature vs time will be

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