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 Physics Question

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).

Related Questions:

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  3. Which one of the following is not a unit of young’s modulus?
  4. Two wires of the same dimensions but resistivities p1 and p2 are connected in series
  5. What is the difference between soft and hard X-ray?

Topics: Properties of Bulk Matter (130)
Subject: Physics (2479)

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