+2 votes
in Physics by kratos

Equation of lt= l0[1 + α (T2 -T1)] find out the dimensions of the coefficient of linear expansion α suffix.

(a) M0L0T1K1

(b) M0L1T1K1

(c) M1L1T0K1

(d) M0L0T0K-1

1 Answer

+1 vote
by kratos
 
Best answer

(d) M0L0T0K-1

Explanation:

ℓ1 = ℓ0[1 + α(T2 – T1)]

∴ α = [(ℓ1/ℓ0) – 1] [1 / (T2 – T1)]

= [(ℓ1 – ℓ0) / ℓ0][1 / (T2 – T1)]

Dimensions of α = {[L] / ([L][k])} = [k–1] = [M0L0T1K–1]

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