Physics, asked by KeshavVyas, 3 months ago

relationship between alpha beta and gama​

Answers

Answered by seerapu8bkvelm
0

Explanation:

in Thermal Expansion. As the temperature increases, the volume of the material also increases. This is known as thermal expansion. It can also be explained as the fractional change in the length or volume per unit change in the temperature.

Answered by Naina3843
28

Answer:-

We know that,

L =L• (1+αΔT)

α= coefficient of linear expansion

And,

A= A• (1+βΔT)

β= coefficient of aerial expansion

And,

And,

V= V•(1+γΔT)

γ= coefficient of cubical expansion.

So, now

V= V• + γV•ΔT

V= V•(1+γΔT)

L³= L•³ (1+αΔT)³

L³= L•³(1+3αΔT + 3α²ΔT² +α³ΔT³)

L³= L•³(1+3αΔT)

{Neglecting 3α²ΔT² and α³ΔT³ because they are very smaller than 1}

L³= L•³(1+3αΔT)

V= L•³(1+3αΔT)

V•(1+γΔT) = V•(1+3αΔT)

1+γΔT = 1+3αΔT

γΔT = 3αΔT

γ=3α

And β=2α

A= A•(1+βΔT)

L²= L•²(1+αΔT)²

A= L•²(1+2αΔT+α²ΔT²)

A= A•(1+2αΔT)

A•(1+βΔT) = A•(1+2αΔT)

{α²ΔT² Neglecting them due to very smaller volume}

β=2α

α:β:γ=1:2:3

hope it will help you....

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