The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are and , is [2024]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^{8} N$ $m^{- 2}$ and $2 \times 10^{11} N$ $m^{- 2}$ , is [2024]

1 4 mm

2 0.4 mm

3 40 mm

4 8 mm

Ans.
(1)

Here, $l = 1$ $m$

Young’s modulus $= 2 \times 10^{11} {N m}^{- 2}$ and Stress $= 8 \times 10^{8} {N m}^{- 2}$

$Δ l = \frac{Stress}{Y} \times l = \frac{8 \times 10^{8}}{2 \times 10^{11}} \times 1 = 4 \times 10^{- 3} = 4$ $mm$

Want Us to Email you About Special Offers & Updates?