1.

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

Answer» Correct Answer - A
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)`


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