Question

52. The co-efficient of linear expansion of a
crystal in one direction is alpha1 and that in every
direction perpendicular to it is alpha2<<, The
co-efficient of cubical expansion is:
(A) alpha1+alpha2, (B) 2alpha1, +alpha2,
(C) alpha1 + 2alpha2, (D) none of the above.​

Answer 1

Answer:

Answer :- C✅

Solution :

V=V0(1+γΔθ)

L3=L0(1+α1Δθ)L20(1+α2Δθ)2

L30(1+α1Δθ)(1+α2Δθ)2

Since L30=V0 and L3=V

Hence 1+γΔθ=(1+α1Δθ)(1+α2Δθ)2

≅(1+α1Δθ)(1+2α2Δθ)

≅(1+α1Δθ+2α2Δθ)

⇒γ=α1+2α2.

Explanation:

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