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. In a mass spectrometer used for measuring the masses of ions, the ions
  2. The ratio of the weight of a man in a stationary lift and when it is moving downwards
  3. The ionisation energy of hydrogen is 13.6 eV. The energy of the photon released
  4. A force F=ai+3j+6k is acting at a point r=2i-6j-12k. The value of α for
  5. With what minimum acceleration can a fireman slide down a rope while breaking