Properties Of Solids And Liquids Question 583

Question: Two spheres made of same substance have diameters in the ratio 1 : 2. Their thermal capacities are in the ratio of

Options:

A) 1 : 2

B) 1 : 8

C) 1 : 4

D) 2 : 1

Show Answer

Answer:

Correct Answer: B

Solution:

Thermal capacity = Mass $ \times $ Specific heat Due to same material both spheres will have same specific heat. Also mass = Volume (V) $ \times $ Density ($ \rho $ )

Ratio of thermal capacity $ =\frac{m _{1}}{m _{2}}=\frac{V _{1}\rho }{V _{2}\rho }=\frac{\frac{4}{3}\pi r _{1}^{3}}{\frac{4}{3}\pi r _{2}^{3}}={{( \frac{r _{1}}{r _{2}} )}^{3}}={{( \frac{1}{2} )}^{3}}=1:8 $



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