A displacement is related to time as x = A sin (2? ft), where A and f are constants. Find the dimensions of A. [Hint: A trigonometric function appearing in an equation must be dimensionless.]

A. L * T

B. L / T

C. L

D. T / L

E. T

The right option is C. i. e L

Explanation:

Dimension of a quantity is the collection of the indexes of each of the fundamental quantities contained in it.

Therefore, to get the dimension of A in the equation

X=Asin (2 (pi) ft)

Making A the subject of the formula

A = X / (sin (2 (pi) ft)

Since sin (2 (pi) ft which is a trigonometric function does not have a dimension

A = L

The dimension of A is L