The Young's modulus of a steel wire of length $6\ \mathrm{m}$ and cross-sectional area $3\ \mathrm{mm}^2$, is $2\ imes\ 11^{11}\ \mathrm{N/m}^2$ . The wire is suspended from its support on a given planet. A block of mass $4\ \mathrm{kg}$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $\frac{1}{4}$ of its value on the earth. The elongation of wire is (Take $g$ on the earth $=\ 10\ \mathrm{m/s^2}$ ):

Question

The Young's modulus of a steel wire of length $6\ \mathrm{m}$ and cross-sectional area $3\ \mathrm{mm}^2$, is $2\ 	imes\ 11^{11}\ \mathrm{N/m}^2$ . The wire is suspended from its support on a given planet. A block of mass $4\ \mathrm{kg}$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $\frac{1}{4}$ of its value on the earth. The elongation of wire is (Take $g$ on the earth $=\ 10\ \mathrm{m/s^2}$ ):

Dr. Abubacker · Accepted Answer

The correct answer is Option C: $0.1\ mm$.

Explanation

Reviewed by Dr. Abubacker

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