Two blocks of mass 2 kg$2 \text{ kg}$ and 4 kg$4 \text{ kg}$ are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is 4.0 × 10⁻⁵ m$4.0 \times 10^{-5} \text{ m}$ and Young's modulus of the metal is 2.0 × 10¹¹ N/m²$2.0 \times 10^{11} \text{ N/m}^2$. The longitudinal strain developed in the wire is (1)/(α π)$\frac{1}{\alpha \pi}$. The value of α$\alpha$ is _______. [Use g = 10 m/s²$g = 10 \text{ m/s}^2$]

Related Formula

Core Logic

The change in pressure Δ P$\Delta P$ is the hydrostatic pressure at depth h$h$.

Step 2: Calculation

Given values: ρ = 10³ kg/m³$\rho = 10^3\mathrm{\,kg/m^3}$ g = 10 m/s²$g = 10\mathrm{\,m/s^2}$ β = 9 × 10⁸ N/m²$\beta = 9 \times 10^8\mathrm{\,N/m^2}$ (Δ V)/(V) = -0.02% = -(0.02)/(100)$\frac{\Delta V}{V} = -0.02\% = -\frac{0.02}{100}$

Substitute into the equation:

Chapter Mix

Class 11 Physics: Mechanical Properties Of Solids Class 11 Physics: Mechanical Properties Of Fluids