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

Question

In the relation y = a cos ( ω t = kx ), the dimensional formula for k is (A)  [ M0 L - 1 T - 1 ]  (B)  [ M0 L T - 1 ]  (C)  [ M0 L - 1 T 0 ]  (D)  [ M0 L T ]

Tardigrade Admin · Accepted Answer

[ k ] = ( 1/ [ x ] ) = ( 1/ [ L ] ) Dimensions of k = [ M0 L - 1 T0 ]

Q. In the relation $y = a cos (ω t = k x)$ , the dimensional formula for $k$ is

$[M^{0} L^{- 1} T^{- 1}]$

$[M^{0} L T^{- 1}]$

$[M^{0} L^{- 1} T^{0}]$

$[M^{0} L T]$

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

Q. In the relation y=acos(ωt=kx), the dimensional formula for k is

[M0L−1T−1]

[M0LT−1]

[M0L−1T0]

[M0LT]