Question

Convert Young's modulus of 2 × 10^11 N/m^2 in C.G.S units

Answer 1

2×10^11N/m^2=2×10^11×10^5dyne/10^-4cm^2

2×10^18dyne/cm^2

Answer 2

Given :

Young's modulus , $Y=2 \times 10^{11 }\ N/m^2$      ..... ( 1 )

To Find :

Value of Young's modulus in C.G.S units .

Solution :

We know , Force in M.K.S  into C.G.S is converted by :

$1 \ N =10^5\ dyne$

Also , $1\ m=100\ cm$

Therefore , $1\ m^2=10^4\ cm^2$

Putting value of N and $m^2$ in equation 1 :

We get ,

$Y=\dfrac{2\times 10^{11}\times 10^5\ dyne}{10^4\ cm^2}\\\\Y=2\times 10^{12}\ dyne/cm^2$

Therefore , value of Young's modulus in C.G.S units is $2\times 10^{12}\ dyne/cm^2$ .

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Units and measurements

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