Two sphere’s of radii in the ratio $$1$$:$$2$$, have specific heats in the ratio $$2$$:$$3$$. If their densities are in the ratio $$3$$:$$4$$, find the ratio of their thermal capacities.

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Infinity Learn · Accepted Answer

ratio of radii $$isr1r2=12$$ ratio of specific capacities is $$S1S2=23$$ ratio of densities isρ$$1$$ρ$$2=34$$ thermal capacity $$=$$ mass x specific heat $$=density$$ x volume x specific heat ratio of thermal capacities is $$m1S1m2S2=$$ρ$$1$$ρ$$2$$×π$$r1$$$$π$$$$r23$$×$$S1S2$$ $$m1S1m2S2=34$$×$$18$$×$$23=116$$ $$m1S1$$:$$m2S2=1$$:$$16=ratio$$ of thermal capacities

Two sphere’s of radii in the ratio 1:2, have specific heats in the ratio 2:3. If their densities are in the ratio 3:4, find the ratio of their thermal capacities.

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