Back to MECHANICAL PROPERTIES OF SOLIDS

JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS

1 Medium

1 of 1

Remembering +4 | -1

Energy stored in stretching a string per unit volume is

View answer and explanation

Correct option: A

\frac{1}{2}\,\, \times \,\,\mathrm{stress}\,\, \times \mathrm{strain}

Option A (

\frac{1}{2}\\ \times \\ \text{{stress}}\\ \times \\ \text{{strain}}

) is correct because the energy stored per unit volume in a stretched string is given by half the product of stress and strain.

More Questions from MECHANICAL PROPERTIES OF SOLIDS

Practice All Chapter MCQs →

A wire is stretched under a force. If the wire suddenly snaps the temperature of the wire The increases in length is

l

of a wire of length

L

by the longitudinal stress. Then the stress is proportional to A steel wire of length

l

and cross sectional area

\mathrm{A}

is stretched by

1 \mathrm{~cm}

under a given load. When the same load is applied to another steel wire of double its length and half of its cross section area, the amount of stretching (extension) is Assertion: From the relation

Y=\frac{F l}{A \Delta l},

we can say that, if length of a wire is doubled, its Young's modulus of elasticity will also becomes two times.

Reason: Modulus of elasticity is a material property. A wire can be broken by applying a load of 200 N. The force required to break another wire of the same length and same material, but double in diameter, is Assertion(A): If radius of cylindrical wire is doubled, then this wire can bear four times stress.

Reason(R): By doubling the radius, area of cross-section will become four times.