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NEET PHYSICSEasy

Let a wire be suspended from the ceiling (rigid support) and stretched by a weight WW attached at its free end. The longitudinal stress at any point of the cross-sectional area AA of the wire is:

A

zero

B

2WA\frac{2W}{A}

C

WA\frac{W}{A}

D

W2A\frac{W}{2A}

Step-by-Step Solution

  1. Definition of Stress: Longitudinal stress is defined as the internal restoring force (FF) developed per unit cross-sectional area (AA) of a body when it is subjected to a deforming force. Stress(σ)=Restoring Force(F)Area(A)\text{Stress} (\sigma) = \frac{\text{Restoring Force} (F)}{\text{Area} (A)}
  2. Force Analysis: When a weight WW is suspended from the free end of the wire, the wire stretches. In a state of equilibrium, the internal restoring force (tension) developed in the wire is equal in magnitude to the external deforming force (the weight WW). F=WF = W
  3. Calculation: Substituting the force into the stress formula: Longitudinal Stress=WA\text{Longitudinal Stress} = \frac{W}{A}
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Solved: PHYSICS Question for NEET | Sushrut