A rectangular block is heated from 0°C to 100°C. The percentage increase in its length is 0.2 %. The percentage increase in its volume is

Question

A rectangular block is heated from 0°C to 100°C. The percentage increase in its length is 0.2 %. The percentage increase in its volume is (A) 0.6 % (B) 0.10 % (C) 0.2 % (D) 0.4 %

Tardigrade Admin · Accepted Answer

Volume V= L3 ∴ (Δ V/V) × 100=3 (Δ L/L) ×100 =3 × 0.2 %=0.6 % (∵ (Δ L/L)=0.2)

Q. A rectangular block is heated from $0^{\circ} C$ to $10 0^{\circ} C$ . The percentage increase in its length is $0.2%$ . The percentage increase in its volume is

$0.6%$

$0.10%$

$0.2%$

$0.4%$

Volume $V = L^{3}$
$∴ \frac{Δ V}{V} \times 100 = 3 \frac{Δ L}{L} \times 100$
$= 3 \times 0.2% = 0.6%$ $(∵ \frac{Δ L}{L} = 0.2)$

Q. A rectangular block is heated from 0∘C to 100∘C. The percentage increase in its length is 0.2%. The percentage increase in its volume is

0.6%

0.10%

0.2%

0.4%