Two spheres are made of same metal and have same mass. One is solid and the other is hollow. When heated to the same temperature, which of the following statements is correct about the percentage increase in their diameters

Question

Two spheres are made of same metal and have same mass. One is solid and the other is hollow. When heated to the same temperature, which of the following statements is correct about the percentage increase in their diameters (A) it will be more for hollow sphere (B) it will more for solid sphere (C) it will be same for both spheres (D) it may be more or less depending on the ratio of the diameters of the two spheres

Tardigrade Admin · Accepted Answer

Percentage increase in diameter is given by,

\frac{Δ D}{D} \times 100 = (α Δ θ) \times 100

As two spheres are made of same metal hence have same coefficient of linear thermal expansion. Therefore for same rise in temperature the percentage increase in their diameters will be same for both.

Q. Two spheres are made of same metal and have same mass. One is solid and the other is hollow. When heated to the same temperature, which of the following statements is correct about the percentage increase in their diameters

it will be more for hollow sphere

it will more for solid sphere

it will be same for both spheres

it may be more or less depending on the ratio of the diameters of the two spheres

Percentage increase in diameter is given by, DΔD​×100=(αΔθ)×100 As two spheres are made of same metal hence have same coefficient of linear thermal expansion. Therefore for same rise in temperature the percentage increase in their diameters will be same for both.

Percentage increase in diameter is given by,
$\frac{Δ D}{D} \times 100 = (α Δ θ) \times 100$
As two spheres are made of same metal hence have same coefficient of linear thermal expansion. Therefore for same rise in temperature the percentage increase in their diameters will be same for both.