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

Options

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

Answer

C

Explanation

Given, Young's modulus, `Y=1.9xx10^(11)"N"//"m"^(2)`
1 N = `10^(5)` dyne
Hence, `" "Y=19xx10^(11)xx10^(5)" dyne"//"m"^(2)`
We know that 1 m = 100 cm
`therefore" "Y=19xx10^(11)xx10^(5)" dyne"//(100)^(2)"cm"^(2)`
=1.9 `xx` `10^(16-4)" dyne"//"cm"^(2)`
`Y=19xx10^(12)" dyne"//"cm"^(2)`
Note : While we are going through units conversion, we should keep in mind that proper relation between units are mentioned.