The following four wires are made of the same material. Which of these will have

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

Options

(a) length = 100 cm, diameter = 1 mm
(b) length = 200 cm, diameter = 2 mm
(c) length = 300 cm, diameter = 3 mm
(d) length = 50 cm, diameter = 0.5 mm

Correct Answer:

length = 50 cm, diameter = 0.5 mm

Explanation:

F = YA / L x l
So, extension l ∞ L / A ∞ L / D² [F and Y are constant]
l₁ ∞ 100 / 1² ∞ 100 l₂ ∞ 200 / 2² ∞ 50
l₃ ∞ 300 / 3² ∞ 100 / 3 l₄ ∞ 50 / 1 / 4 ∞ 200
The ratio of L / D² is maximum for case (d).

admin:

Related Questions

  1. The electric vector vibration of an electromagnetic wave is given by
  2. If the unit of force and length are doubled, then unit of energy will be
  3. A charged oil drop is suspended in a uniform field at 3×10⁴ V/m so that it neither falls
  4. In a semiconductor
  5. Which gate can be obtained by shorting both the input terminals of a NOR gate?