A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young’s modulus. The value of Young’s modulus of the wire as per this experiment is where the value of P is: (Take )

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.
A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young’s modulus. The value of Young’s modulus of the wire as per this experiment is $P \times 10^{11} {N m}^{- 2},$ where the value of P is: (Take $g = 3 π {m/s}^{2}$ ) [2025]

1 5

2 10

3 25

4 2.5

Ans.
(1)

$Y = \frac{F / A}{Δ L / L} = \frac{F L}{A Δ L} = \frac{(500 N) (3)}{π \times 9 \times 10^{- 6} \times 1 \times 10^{- 4}} = 5 \times 10^{11} {N/m}^{2}$

Want Us to Email you About Special Offers & Updates?