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1.Units, Dimensions and Measurement
easy

$\frac{{dy}}{{dt}}\,\, = \,2\,\omega \sin \,(\omega t\, + \,\,{\theta _0})\,$ સમીકરણમાં ${\text{( }}\omega {\text{t  +  }}{\theta _{\text{0}}}{\text{ )}}$ ના પરિમાણ.......છે 

A

$M^{1}L^{1}T^{1}$

B

$M^{1}L^{1}T0$

C

$M^{1}L^0T^0$

D

$M^0L^0T^0$

Solution

The given ralation is:

$\frac{d y}{d t}=2 w \sin \left(w t+\phi_0\right)$

It is the equation for the velocity of the wave.

Arguments of trignometric functions are dimension less $\Rightarrow( wt +\phi)$ has dimension $\left[ M ^0 L ^0 T ^0\right]$.

Standard 11
Physics

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