Force constant of a spring $(K)$ is synonymous to

  • A

    $\frac{YA}{L}$

  • B

    $\frac{YL}{A}$

  • C

    $\frac{AL}{Y}$

  • D

    $ALY$

Similar Questions

A uniform copper rod of length $50 \,cm$ and diameter $3.0 \,mm$ is kept on a frictionless horizontal surface at $20^{\circ} C$. The coefficient of linear expansion of copper is $2.0 \times 10^{-5} \,K ^{-1}$ and Young's modulus is $1.2 \times 10^{11} \,N / m ^2$. The copper rod is heated to $100^{\circ} C$, then the tension developed in the copper rod is .......... $\times 10^3 \,N$

The modulus of elasticity is dimensionally equivalent to

Figure shows graph between stress and strain for a uniform wire at two different femperatures. Then

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  • [AIIMS 2001]

Four identical hollow cylindrical columns of mild steel support a big structure of mass $50,000 \;kg$. The inner and outer radii of each column are $30$ and $60\; cm$ respectively. Assuming the load distribution to be uniform, calculate the compressional strain of each column.