# Prove beta = 3 alpha ? hey guys that's my physics homework can anyone help please?

can anyone know the right link to the topic or the answer in detail please help

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- 9 years agoFavorite Answer
let the initial volume = V=lwh (length)(width)(height)

change in volume = ΔV

V+ΔV = [L(1+ALPHAΔT)] [W(1+ALPHAΔT] [H(1+ALPHAΔT]

= LWH[1+ALPHAΔT]^3 TAKING COMMONS

V+ΔV = V[1+3ALPHAΔT+ 3 ALPHA^2 T^2+ ALPHA^3ΔT^3]

V+ΔV = V[1+3ALPHAΔT]

V+ΔV = V+3VALPHA ΔT CANCEL Vs ON BOTH SIDES

ΔV = 3VALPHAΔT ----------- (1)

From vol expansion, we know that

ΔV = BETAVΔT

3VALPHAΔT = BETAVΔT CANCEL V AND ΔT ON BOTH SIDES

3ALPHA = BITA proved

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