A sheet of brass is 100 cm long and 40 cm broad at 273 K. The area of the surface increase by 2 cm 2 at 100° C. What is the coefficient of linear expansion of brass?

Question

A sheet of brass is 100 cm long and 40 cm broad at 273 K. The area of the surface increase by 2 cm 2 at 100° C. What is the coefficient of linear expansion of brass? (A) 5 × 10-6 ° C -1 (B) 2.510-6 ° C -1 (C) 3 × 10-6 ° C -1 (D) 2 × 10-5 ° C -1

Tardigrade Admin · Accepted Answer

(Δ A / A o Δ T )=β=(2/4000 × 100) =5 × 10-6 ° C -1 α=(β/2)=2.5 × 10-6 / ° C

Q. A sheet of brass is $100 c m$ long and $40 c m$ broad at 273 K. The area of the surface increase by $2 c m^{2}$ at $10 0^{\circ} C$ . What is the coefficient of linear expansion of brass?

$5 \times 1 0^{- 6}^{\circ} C^{- 1}$

$2.51 0^{- 6}^{\circ} C^{- 1}$

$3 \times 1 0^{- 6}^{\circ} C^{- 1}$

$2 \times 1 0^{- 5 \circ} C^{- 1}$

$\frac{Δ A}{A _{o} Δ T} = β = \frac{2}{4000 \times 100}$
$= 5 \times 1 0^{- 6}^{\circ} C^{- 1}$
$α = \frac{β}{2} = 2.5 \times 1 0^{- 6} /^{\circ} C$

Q. A sheet of brass is 100cm long and 40cm broad at 273 K. The area of the surface increase by 2cm2 at 100∘C. What is the coefficient of linear expansion of brass?

5×10−6∘C−1

2.510−6∘C−1

3×10−6∘C−1

2×10−5∘C−1