1They will expand to the same extent according to the formula,
V-V0=V0γΔT....as γ is same for both.
two spheres of same size are made of the same material but one is solid and the other is hollow. They r heated to same temp.Which will expand more, if not why?
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1yups i too think so....
But also hav a doubt inside there is air which will also expand accordingly .....so volumetric expansion toh air ki count hogi na.....
1there u r rite volumetric expansion of the air will be considered
so hollow will be more expanded
1arey yaar aise to kahin bhi kuch bhi assume karke ans aa jayega....
11Expansion of similar solid & hollow spheres heated to same temp.
Thermal expansion of a cavity (irrespective of air,or vacuum) is same as if it had been a solid of same dimensions made of the same material.
So think of the hollow sphere to be a solid sphere with a cavity of almost same radius.
So,
Expansion of solid sphere = V γ Δθ
Exansion of hollow sphere(ie. considering solid sphere + cavity) = V γ Δθ
Since V,γ,Δθ are same for both , Expansion will be same for both solid & hollow spheres.
11Expansion of similar solid & hollow spheres supplied same amount of heat
Δθ = Q/mc
Since Q and c are same , Expansion of hollow sphere will be more than solid sphere bec. hollow sphere has lesser mass than solid sphere of same volume.
1For the hollow sphere we must take in account of only the expansion of surface area and not the voulme
which is 2/3 of gamma
when we proceed further the expansion of volume in hollow will be greater
11@rkrish
Q supplied is not the same but the temperature is same