An aluminium sphere of radius 10cm is heated from 0° to 100° C. Its volume changes by (where, coefficient of linear expansion for aluminium = 23 × 106 / ° C

Question

An aluminium sphere of radius 10cm is heated from 0° to 100° C. Its volume changes by (where, coefficient of linear expansion for aluminium = 23 × 106 / ° C (A) 28.9cc (B) 2.89cc (C) 9.28cc (D) 49.8cc

Tardigrade Admin · Accepted Answer

Cubical expansion, Δ V=&gamma; VΔ T=3α VΔ T [.∵ &gamma; =3α ]. =3× 23× (10)- 6× ((4/3) π × (10)3)× 100 =28.9cc

Q. An aluminium sphere of radius $10 c m$ is heated from $0^{\circ}$ to $10 0^{\circ} C .$ Its volume changes by (where, coefficient of linear expansion for aluminium $= 23 \times 1 0^{6} /_^{^{\circ}} C$

$28.9 cc$

$2.89 cc$

$9.28 cc$

$49.8 cc$

Cubical expansion, $Δ V = γV Δ T = 3 α V Δ T$ $[∵ γ = 3 α]$
$= 3 \times 23 \times (10)^{- 6} \times (\frac{4}{3} π \times (10)^{3}) \times 100$
$= 28.9 cc$

Q. An aluminium sphere of radius 10cm is heated from 0∘ to 100∘C. Its volume changes by (where, coefficient of linear expansion for aluminium =23×106/_∘C

28.9cc

2.89cc

9.28cc

49.8cc