Thermometry Calorimetry And Thermal Expansion Question 28
Question: Two spheres made of same substance have diameters in the ratio 1 : 2. Their thermal capacities are in the ratio of [JIPMER 1999]
Options:
A) 1 : 2
B) 1 : 8
C) 1 : 4
D) 2 : 1
Show Answer
Answer:
Correct Answer: B
Solution:
Thermal capacity = Mass ´ Specific heat Due to same material both spheres will have same specific heat. Also mass = Volume (V) ´ Density (r) \ 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 $
BETA
