If a metal object was cut on half how much heat will be required to raise both half to a specific temperature

suppose the mass of a metal object be m and its specific heat capacity be s, and, H joules of heat is required to raise its temperature by t degrees Celsius

Than H is given by relation,

Now if this object is cut in two half's, than mass of half part will also be half i.e. M/2

So heat required to heat the half part will be  

Hence, the heat required to raise the half object to a specific temperature will also become half.

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