An iron wire of length 4m and diameter 2mm is loaded with a weight of 8kg. If the Young's modulus 'Y' for iron is 2×10¹¹Nm^–2 then the increase in length of the wire is (g = 10 ms^–2)

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

0.2mm

0.5mm

2 mm

1 mm

answer is B.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$ℓ = 4 m; r = \frac{2}{2} = 1 \times 10^{- 3} m$
$M = 8 kg; Y = 2 \times 10^{11} N / m^{2}$

$e = \frac{Mgℓ}{{πr}^{2} Y} = \frac{8 \times 10 \times 4}{3.14 \times 10^{- 6} \times 2 \times 10^{11}}$

$\Rightarrow e = \frac{8}{1.57} \times 10^{- 4} m \approx 0.5 mm$

Watch 3-min video & get full concept clarity

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test