On stretching a wire, the elastic energy stored per unit volume is

Correct answer: A. Fl / 2AL

  • A. Fl / 2AL
  • B. FA / 2L
  • C. FL / 2A
  • D. FL / 2

Explanation

The elastic energy stored per unit volume in a stretched wire can be derived from the formula for elastic potential energy, which is (1/2)F * l. When considering energy per unit volume, we must divide by the volume (A*L for a wire with cross-sectional area A and original length L). This gives us the expression Fl / 2AL. Option A is correct because it accounts for the force, extension, cross-sectional area, and original length. The other options either incorrectly include or exclude necessary terms, leading to incorrect expressions for elastic energy per unit volume.Elastic energy stored per unit volume = (1/2) × stress × strain= (1/2) × (F/A) × (l/L)= Fl / 2AL

Written and checked by , contributorLast updated
Report an error

The more specific you are, the faster it gets fixed. A source beats an opinion.

Prefer email? [email protected]

About Physics of Solids

Solids are compared through crystal structure, amorphous arrangement, elasticity, plastic deformation, stress, strain and Young’s modulus. Electrical behavior depends on available charge carriers and band structure, so conductors, insulators and semiconductors must be distinguished from mechanical properties such as strength, stiffness and brittleness.

Practise Physics of Solids

320 free Physics of Solids MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.

Discussion

Stuck on an option, or know a faster way to get there? Ask or explain it here.

No comments yet. Be the first to explain this one.

Exams that ask Physics questions like this

Physics is on 11 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.

More Physics of Solids questions