A cable breaks if stretched by more than . It is cut into two equal parts. How much either part can be stretched without breaking?
Step 1: Given
Maximum elongation in the original cable,
The original length of the cable
Length of the cables after breaking
Step 2: Hooke's law
Hooke's law states that the deformation of a body is directly proportional to the applied load.
(Where is the deformation, are the applied load, the length, the area, and Young's modulus respectively.)
Step 3: Determine the relationship between the lengths and the deformations
Form the above formula,
From the above proportionality, we can write
Step 4: Calculate the maximum deformation
Let the deformation after breaking be
Therefore, option C is the correct option.