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Question: To determine the Young's modulus of a wire, the formula is \(Y = \frac{F}{A}:\frac{L}{\Delta L};\) w...

To determine the Young's modulus of a wire, the formula is Y=FA:LΔL;Y = \frac{F}{A}:\frac{L}{\Delta L}; where LL = length, A=A =area of cross-section of the wire, ΔL=\Delta L =change in length of the wire when stretched with a force FF. The conversion factor to change it from CGS to MKS system is

A

1

B

10

C

0.1

D

0.01

Answer

0.1

Explanation

Solution

Y=FA.LΔLY = \frac{F}{A}.\frac{L}{\Delta L}= dynecm2=10−5N10−4m2=0.1N/m2\frac{dyne}{cm^{2}} = \frac{10^{- 5}N}{10^{- 4}m^{2}} = 0.1N/m^{2}