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 $
