Question

A sparrow flying in air sits on a stretched telegraph wire if the weight of the sparrow is W. Which of the following is true about the tension T produced in the wire?
A. T = W
B. T < W
C. T = 0
D. T > W

Answer 1

Hint: Tension is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar one-dimensional continuous object, or by each end of a rod, truss member, or similar three-dimensional object.The sparrow has its own weight W, and it give a force downwards on the wire.

Complete step by step solution:
From the picture we can get

$2Tcosθ=W$
where,
W= weight of the bird
T = tension in the wire
Now consider cosθ to be very small thus negligible
Now we get,
$T=$ \[\dfrac{W}{2}\].................(1)
​from above equation 1 we can get that the maximum tension of the wire will be equal to \[\dfrac{W}{2}\] but cannot possible
Thus, the correct answer is option D, i.e., T>W

Note: Exceed it, if the wire exceeds the found value the wire breaks. The gravitational force is the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface.