Question:
A metal wire of natural length 50cm and cross-sectional area 4.0 mm2 is fixed at end. A mass of 2.4kg is hung from the other end of the wire. If the elastic pot energy of the wire is 1.8x10-4J,then its Young's modulus is:(Take g=10 ms-2)
A metal wire of natural length 50cm and cross-sectional area 4.0 mm2 is fixed at end. A mass of 2.4kg is hung from the other end of the wire. If the elastic pot energy of the wire is 1.8x10-4J,then its Young's modulus is:(Take g=10 ms-2)
Updated On: Mar 1, 2025
1.6x1011 Nm²
2.4x1011 Nm²
3.2x1011 Nm²
1.8x1011 Nm²
2.0x1011 Nm²
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The correct answer is (E):2.0x1011 Nm²
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Concepts Used:
Potential Energy
The energy retained by an object as a result of its stationery position is known as potential energy. The intrinsic energy of the body to its static position is known as potential energy.
The joule, abbreviated J, is the SI unit of potential energy. William Rankine, a Scottish engineer, and physicist coined the word "potential energy" in the nineteenth century. Elastic potential energy and gravitational potential energy are the two types of potential energy.
Potential Energy Formula:
The formula for gravitational potential energy is
PE = mgh
Where,
- m is the mass in kilograms
- g is the acceleration due to gravity
- h is the height in meters
Types of Potential Energy:
Potential energy is one of the two main forms of energy, along with kinetic energy. There are two main types of potential energy and they are:
- Gravitational Potential Energy
- Elastic Potential Energy