Equation of stationary wave is y = 2A,,sin ,left( {frac{{2π ct}}{λ }} right),cos ,,,left( {frac{{2

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1.Units, Dimensions and Measurement

normal

The equation of the stationary wave is
$y = 2A\,\,\sin \,\left( {\frac{{2\pi ct}}{\lambda }} \right)\,\cos \,\,\,\left( {\frac{{2\pi x}}{\lambda }} \right)$
Which statement is not true?

AThe unit of $ct$ is same as that of $\lambda $

BThe unit of $x$ is same as that of $\lambda $

CThe unit of $2\pi c/\lambda $ is same as that of $2\pi x/\lambda t$

DThe unit of $c/\lambda $ is same as that of $x/\lambda $

Solution

$\,\left[ {\frac{{2\pi ct}}{\lambda }} \right]\, = \,\left[ {\frac{{2\pi x}}{\lambda }} \right]\, = {M^0}{L^0}{T^0}$
$(i) \ c t = \lambda (ii)\ x = \lambda$ $(iii) \,\left[ {\frac{{2\pi c}}{\lambda }} \right] = \left[ {\frac{{2\pi x}}{{\lambda \,t}}} \right]$

Standard 11

Physics

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The equation of the stationary wave is $y = 2A\,\,\sin \,\left( {\frac{{2\pi ct}}{\lambda }} \right)\,\cos \,\,\,\left( {\frac{{2\pi x}}{\lambda }} \right)$ Which statement is not true?

Solution

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The equation of the stationary wave is
$y = 2A\,\,\sin \,\left( {\frac{{2\pi ct}}{\lambda }} \right)\,\cos \,\,\,\left( {\frac{{2\pi x}}{\lambda }} \right)$
Which statement is not true?