The value of tension in a long thin metal wire has been changed from T 1 to T 2 . The lengths of the metal wire at two different values of tension T 1 and T 2 are ℓ 1 and ℓ 2 , respectively. The actual length of the metal wire is:

Step-by-step solution

Y = F L A Δ L ⇒ Y = T 1 ℓ 0   A ℓ 1 - ℓ 0 = T 2 ℓ 0   A ℓ 2 - ℓ 0 1 = T 1 ℓ 2 - ℓ 0 T 2 ℓ 1 - ℓ 0 T 2 ℓ 1 - T 2 ℓ 0 = T 1 ℓ 2 - T 1 ℓ 0 T 1 - T 2 ℓ 0 = T 1 ℓ 2 - T 2 ℓ 1 ℓ 0 = T 1 ℓ 2 - T 2 ℓ 1   T 1 - T 2