Show if Energy Density and Young’s Modulus have the same dimensions.

An aluminium wire is clamped at each end and under zero tension at room temperature. Reducing the temperature, which results in a decrease in the wire's equilibrium length, increases the tension in the wire. Taking the cross-sectional area of the wire to be , the density to be , and Young's modulus to be . What strain results in a transverse wave speed of ? 

True of false: Two quantities must have the same dimensions in order to be multiplied?

Define stress, strain and Young's modulus of an elastic material.