A cube of side 'a' has a spherical cavity of radius ' a /2 ' in the centre filled completely with a liquid. The coefficient of linear expansion of material of cube is one-third of

Question

A cube of side 'a' has a spherical cavity of radius ' $a /2$ ' in the centre filled completely with a liquid. The coefficient of linear expansion of material of cube is one-third of the coefficient of cubical expansion of liquid. After heating the cube and liquid by same temperature, the volume of cavity left vacant of liquid is

Options:

Answer:

D

Solution:

$γ_{c a v i t y} = 3 α_{c u b e} = γ_{l i q u i d}$
Both initial volumes and their volume changes are equal.
No vacant volume develops to first order.

TestHub · Accepted Answer

γ c a v i t y ​ = 3 α c u b e ​ = γ l i q u i d ​ Both initial volumes and their volume changes are equal. No vacant volume develops to first order.

Physics - Heat & Thermo Question with Solution | TestHub

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