Consider a cylindrical container of cross section area ‘A’, length ‘h’ having coefficient of linear expansion α C . The container is filled by liquid of volume expansion coefficient γ L up to height h 1 . When temperature of the system is increased by Δθ then
Text Solution
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h f = h {1+ α c Δθ }
A f = A {1 + 2 α c Δθ }
v f = Ah {1 + 3 α c Δθ }
volume of liquid V W = Ah 1 (1+ γ L Δθ )
h f = h 1 {1 + γ L Δθ }
(i) 3h α c > h 1 γ λ
(ii) 3h α c < h 1 γ λ
(iii) 3h α c = h 1 γ λ
Δ V = Ah ( γ L – 3 α C ) Δθ
(e) (i) h f = h 1 (1 – 3 α C Δθ )
(ii) h f = h 1 (1 + γ L Δθ )
(iii) (1) γ L > 2 α c
(2) γ L < 2 α c
(3) γ L = 2 α c
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