A hollow sphere (mass m, radius R) is put inside a hollow cone (mass m, radius 3R and semi-angle $30 °$ ) as shown in the figure. The whole arrangement is rigidly fixed to the ground at the apex of the cone. Both the sphere and the cone are made of the same material (a = 10^-4/ $° C$ ). Considering that major changes in dimensions could happen only due to heating effects, find the increase in potential energy (in Joule) of the system if it’s temperature is increased by $100 ° C .$

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Answered by

alok kumar singh | Contributor-Level 10

3 weeks ago

$θ = 30 °$

$∴ A B = \frac{R}{s i n θ} = 2 R$

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