Question

Young's modulus of steel is 1910 N/m? Express it
in dyne/cm . Here dyne is the CGS unit of force.
2
odulus is N/m​

Answer 1

Step-by-step explanation:

1910 N = 1910 × 10⁵ dyne

1 m = 100cm

1910 N/m = 1910 × 10⁵ / 100 dyne/cm = 1910 × 10³ dyne/cm

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Answer 2

Dyne and Newton, both are units of force. While Dyne is specified in C-G-S(Centimeter – Gram – Second) unit system, Newton is specified in modern SI unit system which gives the relationship Young’s Modulus between stress and strain. It is used to measure hardness of material.

Here stress is force applied per unit area, strain is deformation happened on object.

E=

ϵ

6

=

L

0

ΔL

A

F

=

AΔL

Fl

0

Where, σ= Stress in Pascal

ϵ= Strain or deformation

F= Force

A= Cross sectioned area

ΔL= Change in Length

L

o

= Actual Length

E= Young’s Modulus

Here E=1.9×10N/M

2

Let’s convert it into CGS unit system.

=1.9×10

11

Newtons/meter

2

=

10

4

cm

2

1.9×10

11

×10

5

=1.9×10

12

dyne/cm

2

E=1.9×10

12

dyne/cm

2

Hope it helps ❤️⚡