two spheres of radii in the ratio 2:3 have specific heats in the ratio 3:4 their densities are in the ratio 4:5 their water equivalent are in the ratio!???
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Thus their water equivalence are in the ratio of TC1 / TC2 = 8/45
Explanation:
Thermal capacity = mass × specific heat.
Mass = volume x density
For a sphere, volume is directly proportional to its cube of radius.
TC ∝r^3 .ρ.C
TC1 / TC2 = r1^3 .ρ 1 .C 1 /r2^3 ρ 2 .C 2
TC1 / TC2 = (2/3)^3 .(3/4) . (4/5)
TC1 / TC2 = 8 / 27 . 3/4 x 4/5
TC1 / TC2 = 2/9 . 4/5
TC1 / TC2 = 8/45
Thus their water equivalence are in the ratio of TC1 / TC2 = 8/45
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