Question Details

In steel, the Young’s modulus and the strain at the breaking point are 2 x 10¹¹ Nm⁻² and 0.15 respectively. The stress at the breaking point for steel is therefore

Options

A

1.33 x 10¹¹ Nm⁻²

B

1.33 x 10¹² Nm⁻²

C

7.5 x 10⁻¹³ Nm⁻²

D

3 x 10¹⁰ Nm⁻²

Correct Answer :

3 x 10¹⁰ Nm⁻²

Solution :

To find the stress at the breaking point for steel, we can use Hooke's Law, which relates stress, strain, and Young's modulus of elasticity.

Hooke's Law is mathematically expressed as:
Young's Modulus ( Y ) = Stress Strain
From this relationship, we can solve for stress:
Stress = Young's Modulus × Strain

We are given the following values:
Young’s modulus (Y) = 2×1011Nm-2
Strain at the breaking point = 0.15

Substitute these values into the equation to calculate the breaking stress:
Stress = ( 2 × 1011 Nm-2 ) × 0.15
Stress = 0.3 × 1011 Nm-2
Stress = 3 × 1010 Nm-2

Therefore, the stress at the breaking point for steel is 3×1010Nm-2.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • JEE
  • intermediate
  • 3 hours
  • chemistry, mathematics, physics

  • JEE
  • intermediate
  • 3 hours
  • chemical engineering, mathematics, physics