Question

Young's modulus of steel is 19×10^10N/m^2.what is it's value in dyne/cm^2= ?

Answer 1

Question :

Young's modulus of steel is 19×10^10N/m^2.what is it's value in dyne/cm^2.

Solution :

we know that

${\purple{\boxed{\large{\bold{ 1 \: Newton\: m{ }^{-2} = 10 dynes\: cm{ }^{-2} }}}}}$

$1 \: newton \: m {}^{ - 2} = 10 \: dyne \: cm {}^{ - 2}$

therefore,

$19 \times 1 0{}^{10} \: newton \: m {}^{ - 2} = 19 \times 10 {}^{10} \times 10 \: dyne \: cm {}^{ - 2}$

$= 19 \times 10 {}^{11} \: dyne \: cm {}^{ - 2}$

Answer 2

$\huge \purple A \purple N \purple s \purple W \purple e \purple \R : -$

$1 \: n \: = \: 10 {}^{5} dyne \: \\ 1 \: m\: = 100 \: cm \: \\ thus \: 19 \times 10 {}^{10} nm {}^{2} \\ = \: 19 \: \times 10 {}^{10} \times \frac{10 {}^{5} }{ |100| {}^{2} } \\ = 19 \times 10 {}^{11}$