Question

One end of a steel wire is fixed to the ceiling of an elevator moving up with an acceleration \( 2\,\text{m/s}^2 \) and a load of \( 10\,\text{kg} \) hangs from the other end. If the cross-section of the wire is \( 2\,\text{cm}^2 \), then the longitudinal strain in the wire is given. (Take \( g=10\,\text{m/s}^2 \) and \( Y=2.0\times10^{11}\,\text{N/m}^2 \)). 

• A. \( 4\times10^{-6} \)
• B. \( 3\times10^{-6} \)
• C. \( 8\times10^{-6} \)
• D. \( 2\times10^{-6} \)

Hint:

Accelerating elevator: Upward acceleration ⇒ effective weight \( m(g+a) \). 

Answer 1

The Correct Option is A