Mechanical Properties of Matter
Two persons pull a rope towards themselves. Each person exerts a force of $$100$$ $$N$$ on the rope. Find the Young modulus of the material of the rope if it extends in length by $$1$$ $$cm$$. Original length of the rope is $$2$$ $$m$$ and the area of cross section is $$2$$ $$cm^2$$
Mechanical Properties of Matter
A student plots a graph from his reading on the determination of Young modulus of a metal wire but forgets to put the labels. the quantities on X and Y -axes may be respectively
Mechanical Properties of Matter
A piece of copper having a rectangular cross-section of $$15.2 mm \times 19.1 mm$$ is pulled in tension with $$44,500\ N$$ force, producing only elastic deformation. Calculate the resulting strain? (Modulus of elasticity of copper, $$Y = 42 \times 10^{9}\ Nm^{-2}$$)
Mechanical Properties of Matter
The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will
Mechanical Properties of Matter
For most materials, the Young's modulus is $$n$$ times the modulus of rigidity, where $$n$$ is
Mechanical Properties of Matter
With rise in temperature, the Young's modulus of elasticity
Mechanical Properties of Matter
Which of the following substances has highest value of Young's modulus.?
Mechanical Properties of Matter
A wire of length $$L$$ and area of cross-section $$A$$, is stretched by a load. The elongation produced in the wire is $$l$$. If $$Y$$ is the Young's modulus of the material of the wire, then the force constant of the wire is :
Mechanical Properties of Matter
In steel, the Young's modulus and the strain at the breaking point are $$2\times 10^{11}N/m^{2}$$ and $$0.15$$ respectively. The stress at the breaking point for steel is therefore :
Mechanical Properties of Matter
The Young's modulus of a wire of length l and radius r is $$Y\:N/m^{2}$$. If the length is reduced to $$L/2$$ & radius to $$r/2$$, then its Young's modouls will be-