Physics, asked by yashingole, 10 months ago

To determine the Young's modulus of a wire, the formula
is Y =-x ; where L = length, À = area of cross
WĀD; where L =
section of the wire, AL = change in length of the wire
when stretched with a force F. The conversion factor to
change it from CGS to MKS system is
(a) 1
(b) 10
(C) 0.1
(d) 0.01

Answers

Answered by Anonymous

Young's modulus = stress/strain

we know, stress is the ratio of force applied and cross sectional area.

and strain is the ratio of change in length of wire to original length.

so, Young's modulus , Y = FL/A∆L

in MKS system , unit of Y is 1 N/m²

in C.G.S system, 1N = 10^5 Dyne

1 m² = (100cm)² = 10⁴ cm²

so, unit of Young's modulus in C.G.S system is (10^5 Dyne)/(10⁴ cm²)

= 10 Dyne/cm²

e.g., 1N/m² = 10Dyne/cm²

or, 1 Dyne/cm² = 0.1 N/m²

hence it is clear that conversion factor to change from c.g.s to mks system is 0.1

therefore option (3) is correct.

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