SATHEE: Properties Of Solids And Liquids Question 583

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 ( $ρ$ )

Ratio of thermal capacity $= \frac{m_{1}}{m_{2}} = \frac{V_{1} ρ}{V_{2} ρ} = \frac{\frac{4}{3} π r_{1}^{3}}{\frac{4}{3} π r_{2}^{3}} = {(\frac{r_{1}}{r_{2}})}^{3} = {(\frac{1}{2})}^{3} = 1 : 8$

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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:

Answer:

Solution:

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