An iron bar 10 c m in length is kept at 20 ° C . If the coefficient of linear expansion of iron is α = 11 × 10 - 6 ° C - 1 , then at 19 ° C it will be

Question

An iron bar 10 c m in length is kept at 20 ° C . If the coefficient of linear expansion of iron is α = 11 × 10 - 6 ° C - 1 , then at 19 ° C it will be, 11 × 1 0 - 6 c m longer, 11 × 1 0 - 6 c m shorter, 11 × 1 0 - 5 c m shorter, 11 × 1 0 - 5 c m longer

MARKS App · Accepted Answer

L = L 0 1 + α Δ θ ⇒ L 1 L 2 = 1 + α Δ θ 1 1 + α Δ θ 2 ⇒ 10 L 2 = 1 + 11 × 1 0 - 6 × 20 1 + 11 × 1 0 - 6 × 19 ⇒ L 2 = 9.99989 ⇒ Length is shorten by 10 - 9.99989 = 0.00011 = 11 × 1 0 - 5 c m

Search any question & find its solution

Looking for more such questions to practice?