In the equation `b=a^(2) cos^(2)((2pi beta gamma)/(alpha))`. If the units of `a, alpha, and beta` are `m, s^(-1) and (ms^(-1))^(-1)`. respectively. The unit of b and Y......

Options

A. `m and ms^(-2)`
B. `m^(2) and ms^(-2)`
C. `m^(2) and (ms^(-2))`
D. `m and (ms^(-2))^(-1)`

Explanation

`:.b=a^(2)cos^(2)((2pi beta gamma)/(alpha))`
`:.` Unit of b= unit of `a^(2)`
`:.` unit of `(2pi beta gamma)/(alpha)`= unitless
`:.` Units of `gamma`= unit `(alpha)/(beta) [ :.` unitless]
`:.` Units of `gamma=(s^(-1))/((ms^(-1))^(-1))=s^(-1)xxms^(-1)`
`:.` Unit of `gamma==(m)/(s^(2))=ms^(-2)`