Questions in Mechanical Properties of Solids

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A rubber cord catapult has cross-sectional area $25m{{m}^{2}}$and initial length of rubber cord is $10cm.$ It is stretched to $5\,cm.$ and then released to project a missile of mass $5gm.$ Taking ${{Y}_{rubber}}=5\times {{10}^{8}}N/{{m}^{2}}$ velocity of projected missile is
According to Hook’s law force is proportional to
In the Young’s experiment, If length of wire and radius both are doubled then the value of $Y$ will become
Minimum and maximum values of Poisson’s ratio for a metal lies between
A wire of diameter 1mm breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension of
Young’s modulus of perfectly rigid body material is
A wire of length 2 m is made from $10\ c{{m}^{3}}$ of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by
A wire of cross section $4 mm^2$ is stretched by $0.1 mm$ by a certain weight. How far (length) will be wire of same material and length but of area $8 mm^2$ stretch under the action of same force
A substance breaks down by a stress of $10^6 N/m^2$. If the density of the material of the wire is $3 \times 10^3 kg/m^3$, then the length of the wire of the substance which will break under its own weight when suspended vertically, is
A rubber cord $10 m$ long is suspended vertically. How much does it stretch under its own weight (Density of rubber is $1500 kg/m^3$, $Y = 5 \times 10^8 N/m^2$, $g = 10 m/s^2$)

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