Question

In the equation, y = A sin( wt - kx ), obtain the dimensional formula ' w ' and ' k '. Given ' x ' is distance and ' t ' is time.

Answer 1

Given Y = A  sin ( wt -  kx);  also it is given that it is time and X is the distance.The given equation is in the form of Y equal to a sin theta where  theta = (  WT- kx)

Hence we can say (wt-kx) is unitless  

Now we can say WT equal to  $\mathrm{M}^{0} \mathrm{L}^{0} \mathrm{T}^{0}$

$\Leftrightarrow \mathrm{W}=\frac{M^{0} L^{0} T^{0}}{T}=\mathrm{M}^{0} \mathrm{L}^{0} \mathrm{T}^{-1}$

Now we can say kx equal to $\mathrm{M}^{0} \mathrm{L}^{0} \mathrm{T}^{0}$

$\Rightarrow \mathrm{K}=\frac{M^{0} L^{0} T^{0}}{L}=\mathrm{M}^{0} \mathrm{L}^{-1} \mathrm{T}^{0}$

Answer 2

Explanation:

hope it is help ful to u. . . .