What should be the lengths of a steel and copper rod at 0 ° C so that the length of the steel rod is 5 cm longer than the copper rod at any temperature? α (Steel) = 1.1 × 10 - 5 ℃ - 1 α ( Copper)= 1 .7 × 10 - 5 ℃ - 1

Step-by-step solution

Here, α s t e e l =   1.1 × 10 - 5   ℃ - 1 α c o p p e r = 1.7 × 10 - 5   ℃ - 1 l 0 s l 0 c = α c α s =   1.7   × 10 - 5 1.1 × 10 - 5 = 1.545 ∴   l 0 s = 1.545 l 0 c Also, l 0 s - l 0 c = 5 0.545 l 0 c = 5   l 0 c = 5 0.545 = 9.17   c m And l 0 s = 1.545 × 9.17   c m   = 14.17   c m