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A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

(a) Tensile stress at any cross section A of the wire is $\frac{F}{A}$ .

(b) Tensile stress at any cross section is zero.

(c) Tensile stress at any cross section A of the wire is $\frac{2 F}{A}$ .

(d) Tension at any cross section A of the wire is F.

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Only a & d are true

Both a & c

All are correct

Only b

answer is A.

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Detailed Solution

Since the force exerted by the ceiling on it is equal and opposite to the weight, the string is ideal and the tension is same at every cross section and equal to F. So Stress $= F / A$ at every point.

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