One end of thick horizontal copper wire of length '2L' and radius '2R' is welded to an end of another thin horizontal copper wire of length 'L' and radius 'R'. When they are stretched by applying same force at two ends, the ratio of the elo

Question

One end of thick horizontal copper wire of length '2L' and radius '2R' is welded to an end of another thin horizontal copper wire of length 'L' and radius 'R'. When they are stretched by applying same force at two ends, the ratio of the elongation in the thick wire to that in thin wire is

Quantrex Academy · Accepted Answer

Correct answer: A. 1: 2

Correct option is ( C ) We have change in length l = F . l YA Since the two rods are in series array l ( F ₁ )_ rest = ( F ₂ )_ ret l 1 R ² ( A = R ² ) l ₁ l ₂ = l ₁ l ₂ R ₂ ² R ₁ ² l ₁ l ₂ = 2 ~L ~L R ₁ ² 4 R ₁ ² l ₁ l ₂ = 1 2 l ₂ l ₁ = 2 1 =2 array

One end of thick horizontal copper wire of length '2L' and radius '2R' is welded to an end of another thin horizontal copper wire of length 'L' and radius 'R'. When they are stretched by applying same force at two ends, the ratio of the elongation in the thick wire to that in thin wire is

Options

Correct answer

Step-by-step solution

More from Mechanical Properties of Solids