To determine the Youngâs modulus of a wire, the formula is Y =(F/A) × (L/Δ L); where L= length,A= area of cross- section of the wire, Δ L = change in length of the wire when stretched with a force F. What is the conversion factor to change it from CGS to MKS system?

Question

To determine the Youngâs modulus of a wire, the formula is Y =(F/A) × (L/Δ L); where L= length,A= area of cross- section of the wire, Δ L = change in length of the wire when stretched with a force F. What is the conversion factor to change it from CGS to MKS system? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Y=(F/A) .(L/Δ L)=( textdyne/cm2) = (10-5 N/10-4 m2) =0.1 N/m2

Q. To determine the Young’s modulus of a wire, the formula is Y=AF​×ΔLL​; where L= length,A= area of cross- section of the wire, ΔL= change in length of the wire when stretched with a force F. What is the conversion factor to change it from CGS to MKS system?

Y=AF​.ΔLL​=cm2dyne​=10−4m210−5N​=0.1N/m2

$Y = \frac{F}{A} . \frac{L}{Δ L} = \frac{dyne}{c m ^{2}} = \frac{1 0 ^{- 5} N}{1 0 ^{- 4} m ^{2}} = 0.1 N / m^{2}$