Young's modulus of steel is `1.9xx10^(11) N//m^2` When expressed is CGS units of `dy"nes"// cm^2` it will be equal to `(1N = 10^5dy"ne", 1 m^2 = 10^4 cm^2)`

Options

A. `1.9 xx 10^(10)`
B. `1.9 xx 10^(11)`
C. `1.9 xx10^(12)`
D. `1.9 xx 10^(13)`

Answer

C

Explanation

Given, Young.s modulus `Y= 1.9 xx 10^(11) N//m^2 `
`1N = 10^5 ` dyne
Hence , `Y= 1.9xx10^(11) xx 10^5 ` dyne/`m^2`
We know that 1 m = 100 cm
`therefore Y =1.9xx10^(11) xx 10^5 ` dyne/`(100)^2 cm^2`
`=1.9xx 10^(16-4) ` dyne/`cm^2`
`Y= 1.9 xx 10^(12) ` dyne/`cm^2`
Note: While we are going through units conversion, we should keep in mind that proper relation between units are mentioned.