Two spheres of same size are made of the same metal but one is hollow and the other is solid. They are heated to same temperature, then

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  1. both spheres will expand equally
  2. hollow sphere will expand more than the solid one
  3. solid sphere will expand more than the hollow one
  4. None of these

Answer (Detailed Solution Below)

Option 1 : both spheres will expand equally
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Calculation:

When two spheres made of the same metal are heated to the same temperature, the coefficient of linear expansion is the same for both spheres. 

The formula for volume expansion is given by:

ΔV = γ · V₀ · ΔT

For the solid sphere:

ΔVsolid = γ · Vsolid · ΔT

For the hollow sphere:

ΔVhollow = γ · Vhollow · ΔT

ΔVsolid = ΔVhollow

Hence, the correct answer is Option 1: both spheres will expand equally

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