Question

In the relation $ y = a \, cos \, ( \omega t = kx )$, the dimensional formula for $k$ is

• A. $ [ M^0 L^{ - 1} T^{ - 1} ] $
• B. $ [ M^0 L T^{ - 1} ] $
• C. $ [ M^0 L^{ - 1} T^ 0 ] $
• D. $ [ M^0 L T ] $

Answer 1

Answer: (C)

[ k ] = $ \frac{ 1}{ [ x ] } = \frac{ 1}{ [ L ] } $
Dimensions of k = $ [ M^0 L^{ - 1} T^0 ] $