Youngs modulus for steel is
`2xx10^(11)N//m^(2).` What is its value in `C.G.S` UNITS ?

Options

A. `2xx10^(10)`
B. `2xx10^(11)`
C. `2xx10^(12)`
D. `2xx10^(13)`

Answer

C

Explanation

Here `n_(2)=n_(1)[M_(1)/(M_(2))]^(a)[L_(1)/L_(2)]^(b)[T_(1)/(T_(2))]^(c )`
Now `Y=[M^(1)L^(-1)T^(-2)]`
`i.e.a=1,b=-1,c=-2`
`n_(1)=2xx10^(11)N-m^(-2)`
Then `n_(2)=2xx10^(11)[(1kg)/(1g)][(1m)/(1cm)]^(-1)xx[(1sec)/(1sec)]^(-2)`
`2xx10^(11)[(1000)/(1)][(100)/(1)]^(-1)xx[1]^(-2)`
`2xx10^(11)[(1000)/(100)]`
`2xx10^(12)` dyne `cm^(-2)`
`(c )` is correct