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If the coefficient of cubical expansion is x times the coefficient of superficial expansion, then value of x is:
  • a)
    3
  • b)
    2.5
  • c)
    1.5
  • d)
    2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the coefficient of cubical expansion is x times the coefficient of...
The linear expansivity of a solid is also referred to as the thermal coefficient of linear expansion, and is frequently given the symbol (α). As solids expand, so do their surface areas and volumes. The terms superficial expansivity (β) or thermal coefficient of superficial expansion is used when describing area changes due to temperature changes. For volume changes, the term cubic expansivity (γ) or thermal coefficient of cubic expansion is used.
For, most solids, the relationships γ = 3α and β = 2α hold.
Hence, we have
Hence, the value of x is 1.5.
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Community Answer
If the coefficient of cubical expansion is x times the coefficient of...
Explanation:

Given:
Coefficient of cubical expansion = α
Coefficient of superficial expansion = β

Relationship:
α = xβ

Formulae:
α = 3β (for cubical expansion)
β = 2β (for superficial expansion)

Calculation:
α = xβ
3β = x(2β)
3 = 2x
x = 3/2
x = 1.5
Therefore, the value of x is 1.5, which corresponds to option C.
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If the coefficient of cubical expansion is x times the coefficient of superficial expansion, then value of x is:a)3b)2.5c)1.5d)2Correct answer is option 'C'. Can you explain this answer?
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