NEET Physics — Mechanical Properties of Solids

A brass wire of length \( 1.6 \, \text{m} \) and cross-sectional area \( 2 \times 10^{-6} \, \text{m}^2 \) is stretched by a force producing a stress of \( 4 \times 10^7 \, \text{N/m}^2 \). If the Young's modulus of brass is \( 9 \times 10^{10} \, \text{N/m}^2 \), what is the strain?

A brass wire of length \( 1.8 \, \text{m} \) and cross-sectional area \( 2.5 \times 10^{-6} \, \text{m}^2 \) is stretched by a force producing a strain of \( 2 \times 10^{-4} \). If the Young's modulus of brass is \( 9 \times 10^{10} \, \text{N/m}^2 \), what is the stress?

A glass slab of volume \( 0.01 \, \text{m}^3 \) is subjected to a hydraulic pressure of \( 2 \times 10^6 \, \text{N/m}^2 \). If the bulk modulus of glass is \( 3.7 \times 10^{10} \, \text{N/m}^2 \), what is the change in volume?

A copper rod of length 1 m and diameter 2 mm is subjected to a tensile force. If the stress is 4 × 10⁷ N/m², what is the force applied? (Take π ≈ 3.14)

A steel rod of radius \( 0.01 \, \text{m} \) and length \( 1.5 \, \text{m} \) is subjected to a tensile force producing a stress of \( 4 \times 10^7 \, \text{N/m}^2 \). What is the force applied? (Take \( \pi \approx 3.14 \))