The unit of three physical quantities x, y and z are `g cm^(2) s^(-5)`, `gs^(-1)` and `cm s^(-2)` respectively. The relation between x, y and z is

Options

A. `x=yz^(2)`
B. `x=y^(2)z`
C. `y^(2)=xz`
D. `z=x^(2)y`

Answer

A

Explanation

Given, `x` = g `"cm"^(2)` `s^(-5)=["ML"^(2)"T"^(-5)]`
`y="g "s^(-1)=["ML"^(0)"T"^(-1)]`
`and" "z=cms^(-2)=["M"^(0)"LT"^(-2)]`
Now, `" "z^(2)=["M"^(0)"L"^(2)"T"^(-4)]`
and `" "yz^(2)=["ML"^(0)"T"^(-1)]["M"^(0)" L"^(2)"T"^(-4)]`
`" "=["ML"^(2)"T"^(-5)]=x`
i.e., `" "x=yz^(2)`